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Burenkov, Viktor Ivanovich

Total publications: 172 (163)
in MathSciNet: 166 (163)
in zbMATH: 124 (124)
in Web of Science: 63 (61)
in Scopus: 44 (44)
Cited articles: 114
Citations in Math-Net.Ru: 436
Citations in Web of Science: 731
Citations in Scopus: 550
Presentations: 9

Number of views:
This page:7956
Abstract pages:23770
Full texts:10874
References:3030
Professor
Doctor of physico-mathematical sciences (1982)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: ,
Website: https://www.cardiff.ac.uk/people/view/190602-victor-burenkov

http://www.mathnet.ru/eng/person8834
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:burenkov.viktor-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/202446
https://www.researchgate.net/profile/Victor_Burenkov

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2021
1. V. I. Burenkov, E. D. Nursultanov, “Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications”, Proc. Steklov Inst. Math., 312 (2021), 124–149  mathnet  crossref  crossref  isi  elib  scopus
2. V. I. Burenkov, V. S. Guliyev, T. V. Tararykova, “Comparison of Morrey spaces and Nikol'skii spaces”, Eurasian Math. J., 12:1 (2021), 9–20  mathnet  crossref  isi  scopus;

   2020
3. V. I. Burenkov, D. K. Chigambaeva, E. D. Nursultanov, “Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries”, Complex Var. Elliptic Equ., 65:1 (2020), 87–108  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 2);  zmath;
4. V. I. Burenkov, E. D. Nursultanov, “Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 87–94  mathnet (cited: 1)  crossref  isi  scopus (cited: 1);
5. V. I. Burenkov, K. N. Ospanov, A. M. Temirkhanova, “International Conference “Actual Problems of Analysis, Differential Equations and Algebra” (EMJ-2019), dedicated to the 10th anniversary of the Eurasian Mathematical Journal”, Eurasian Math. J., 11:1 (2020), 10–12  mathnet

   2019
6. V. I. Burenkov, B. Th. Tuyen, “On spectral stability problem for a pair of self-adjoint elliptic differential operators on bounded open sets”, Eurasian Math. J., 10:3 (2019), 84–88  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
7. V. I. Burenkov, A. Ghorbanalizadeh, Y. Sawano, “On the equivalence of the $K$-functional and the modulus of continuity on the Money spaces”, J. Approx. Theory, 248 (2019), 105295–19  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)
8. V. I. Burenkov, T. V. Tararykova, “Necessary and sufficient conditions of compactness of certain embeddings of Sobolev spaces”, Eurasian Math. J., 10:4 (2019), 14–23  mathnet  crossref  mathscinet  isi  scopus;  zmath;  zmath
9. V. I. Burenkov, K. N. Ospanov, T. V. Tararykova, A. M. Temirkhanova, “Good news: EMJ is now an SJR Q2 journal”, Eurasian Math. J., 10:4 (2019), 10–13  mathnet  crossref  isi

   2018
10. V. I. Burenkov, D. K. Chigambayeva, E. D. Nursultanov, “Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces”, Eurasian Math. J., 9:2 (2018), 82–88  mathnet (cited: 4)
11. V. I. Burenkov, “5th International conference “Function spaces. Differential operators. Problems of mathematical education” (November 26–29, 2018, Moscow, Russia)”, Eurasian Math. J., 9:4 (2018), 101–103  mathnet  mathscinet
12. V. I. Burenkov, K. N. Ospanov, “International Conference “Actual problems of analysis, differential equations and algebra” (October 16–19, 2019, Astana, Kazakhstan)”, Eurasian Math. J., 9:4 (2018), 99–100  mathnet  mathscinet

   2017
13. V. I. Burenkov, E. Liflyand, “On the boundedness of Hausdorff operators on Morrey-type spaces”, Eurasian Math. J., 8:2 (2017), 97–104  mathnet (cited: 5)  mathscinet  isi (cited: 5)  elib  scopus (cited: 6)
14. N. A. Bokayev, V. I. Burenkov, D. T. Matin, “On precompactness of a set in general local and global Morrey-type spaces”, Eurasian Math. J., 8:3 (2017), 109–115  mathnet (cited: 3)  mathscinet  isi (cited: 4)  elib

   2016
15. V. I. Burenkov, T. V. Tararykova, “An analog of Young's inequality for convolutions of functions for general Morrey-type spaces”, Proc. Steklov Inst. Math., 293 (2016), 107–126  mathnet  crossref  crossref  mathscinet  isi (cited: 11)  elib  elib  scopus (cited: 8)
16. V. I. Burenkov, T. V. Tararykova, “Young’s inequality for convolutions in Morrey-type spaces”, Eurasian Math. J., 7:2 (2016), 92–99  mathnet (cited: 7)  isi (cited: 7)  elib
17. V. I. Burenkov, V. Gol'dshtein, A. Ukhlov, “Conformal spectral stability estimates for the Neumann Laplacian”, Math. Nachr., 289:17 (2016), 2133–2146  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  elib  scopus (cited: 5)
18. V. I. Burenkov, E. D. Nursultanov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, T. V. Tararykova, A. M. Temirkhanova, “EMJ: from Scopus Q4 to Scopus Q3 in two years?!”, Eurasian Math. J., 7:3 (2016), 6  mathnet  isi

   2015
19. N. Azzouz, V. I. Burenkov, A. Senouci, “A weighted Hardy-type inequality for $0<p<1$ with sharp constant”, Math. Inequal. Appl., 18:2 (2015), 787–799  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
20. V. I. Burenkov, V. Gol'dshtein, A. Ukhlov, “Conformal spectral stability estimates for the Dirichlet Laplacian”, Math. Nachr., 288:16 (2015), 1822–1833  mathnet  crossref  mathscinet  zmath  isi (cited: 15)  elib (cited: 1)  scopus

   2014
21. V. I. Burenkov, M. L. Goldman, “Necessary and sufficient conditions for the boundedness of the maximal operator from Lebesgue spaces to Morrey-type spaces”, Math. Inequal. Appl., 17:2 (2014), 401–418  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 2)  scopus (cited: 7)
22. V. I. Burenkov, T. V. Tararykova, “On the spectrum of a nonlinear operator associated with calculation of the norm of a linear vector-functional”, Eurasian Math. J., 5:2 (2014), 132–138  mathnet  elib
23. Trans. Moscow Math. Soc., 75 (2014), 115–131  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
24. V. I. Burenkov, E. D. Nursultanov, D. K. Chigambayeva, “Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations”, Proc. Steklov Inst. Math., 284 (2014), 97–128  mathnet  crossref  crossref  isi (cited: 19)  elib  elib  scopus (cited: 13)

   2013
25. V. I. Burenkov, T. V. Tararykova, “On the 80th birthday of Professor Oleg Vladimirovich Besov”, Eurasian Math. J., 4:2 (2013), 5–9  mathnet  mathscinet
26. V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 46–53  mathnet (cited: 14)  mathscinet  zmath
27. V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II”, Eurasian Math. J., 4:1 (2013), 21–45  mathnet (cited: 42)  mathscinet  zmath
28. V. I. Burenkov, R. Oinarov, “Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space”, Math. Inequal. Appl., 16:1 (2013), 1–19  mathnet  crossref  mathscinet  zmath  isi (cited: 20)  elib (cited: 9)  scopus (cited: 20)
29. V. I. Burenkov, E. Feleqi, “Extension of the notion of a gap to differential operators defined on different open sets”, Math. Nachr., 286:5-6 (2013), 518–535  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)
30. O. V. Besov, V. I. Burenkov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, E. S. Smailov, “On the 90th anniversary of Professor Toleubay Idrisovich Amanov (25.08.1923–21.06.1978)”, Eurasian Math. J., 4:3 (2013), 5–7  mathnet

   2012
31. O. V. Besov, V. I. Burenkov, “To the memory of Academician Sergei Mikhailovich Nikol'skii”, Eurasian Math. J., 3:4 (2012), 6–9  mathnet (cited: 2)  mathnet (cited: 2)  mathscinet  zmath
32. V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I”, Eurasian Math. J., 3:3 (2012), 11–32  mathnet (cited: 47)  mathscinet  zmath
33. V. I. Burenkov, E. Feleqi, “Spectral stability estimates for the eigenfunctions of second order elliptic operators”, Math. Nachr., 285:11-12 (2012), 1357–1369  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 3)
34. V. I. Burenkov, P. D. Lamberti, “Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators”, Rev. Mat. Complut., 25:2 (2012), 435–457  mathnet  crossref  mathscinet  zmath  isi (cited: 21)  elib  scopus (cited: 19)

   2011
35. V. I. Burenkov, M. Otelbaev, “On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators”, Eurasian Math. J., 2:1 (2011), 145–148  mathnet (cited: 2)  mathscinet  zmath
36. V. I. Burenkov, P. Jain, T. V. Tararykova, “On boundedness of the Hardy operator in Morrey-type spaces”, Eurasian Math. J., 2:1 (2011), 52–80  mathnet (cited: 23)  mathscinet  zmath
37. V. I. Burenkov, A. Gogatishvili, V. S. Guliyev, R. Ch. Mustafayev, “Boundedness of the Riesz potential in local Morrey-type spaces”, Potential Anal., 35:1 (2011), 67–87  crossref  mathscinet  zmath  isi (cited: 58)  elib (cited: 11)  scopus (cited: 57)

   2010
38. V. I. Burenkov, A. Senouci, T. V. Tararykova, “Hardy-type inequality for $0<p<1$ and hypodecreasing functions”, Eurasian Math. J., 1:3 (2010), 27–42  mathnet (cited: 5)  mathscinet  zmath
39. V. I. Burenkov, V. S. Guliyev, A. Serbetci, T. V. Tararykova, “Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces”, Eurasian Math. J., 1:1 (2010), 32–53  mathnet (cited: 29)  mathscinet  zmath
40. V. I. Burenkov, E. D. Nursultanov, “Description of interpolation spaces for local Morrey-type spaces”, Proc. Steklov Inst. Math., 269 (2010), 46–56  mathnet  crossref  mathscinet  zmath  isi (cited: 33)  elib  elib  scopus (cited: 16)
41. G. Barbatis, V. I. Burenkov, P. D. Lamberti, “Stability estimates for resolvents, eigenvalues, and eigenfunctions of elliptic operators on variable domains”, Around the research of Vladimir Maz'ya. II, Int. Math. Ser. (N. Y.), 12, Springer, New York, 2010, 23–60  crossref  mathscinet  zmath
42. V. I. Burenkov, A. Senouci, T. V. Tararykova, “Equivalent quasi-norms involving differences and moduli of continuity”, Complex Var. Elliptic Equ., 55:8-10 (2010), 759–769  crossref  mathscinet  zmath  isi (cited: 2)
43. V. I. Burenkov, A. Gogatishvili, V. S. Guliyev, R. Ch. Mustafayev, “Boundedness of the fractional maximal operator in local Morrey-type spaces”, Complex Var. Elliptic Equ., 55:8-10 (2010), 739–758  crossref  mathscinet  zmath  isi (cited: 93)  elib
44. V. I. Burenkov, “VIII Congress of the International Society for Analysis, its Applications and Computation”, Eurasian Math. J., 1:2 (2010), 142–144  mathnet

   2009
45. V. I. Burenkov, P. D. Lamberti, “Spectral stability of the $p$-Laplacian”, Nonlinear Anal., 71:5-6 (2009), 2227–2235  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 5)
46. V. Burenkov, P. D. Lamberti, “Spectral stability of higher order uniformly elliptic operators”, Sobolev spaces in mathematics. II, Int. Math. Ser. (N. Y.), 9, Springer, New York, 2009, 69–102  crossref  mathscinet  zmath
47. V. I. Burenkov, V. S. Guliyev, “Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces”, Potential Anal., 30:3 (2009), 211–249  crossref  mathscinet  zmath  isi (cited: 66)  elib  scopus (cited: 61)

   2008
48. Proc. Steklov Inst. Math., 260 (2008), 68–89  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 5)
49. V. I. Burenkov, V. S. Guliev, T. V. Tararykova, A. Sherbetchi, “Necessary and sufficient conditions for the boundedness of genuine singular integral operators in Morrey-type local spaces”, Dokl. Akad. Nauk, 422:1 (2008), 11–14  mathnet (cited: 6)  mathscinet  zmath
50. V. I. Burenkov, P. D. Lamberti, “Spectral stability of Dirichlet second order uniformly elliptic operators”, J. Differential Equations, 244:7 (2008), 1712–1740  crossref  mathscinet  zmath  adsnasa  isi (cited: 34)  scopus (cited: 31)

   2007
51. V. I. Burenkov, V. S. Guliev, G. V. Guliev, “Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces”, Dokl. Akad. Nauk, 412:5 (2007), 585–589  mathnet (cited: 6)  mathscinet  zmath
52. V. I. Burenkov, H. V. Guliyev, V. S. Guliyev, “Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces”, J. Comput. Appl. Math., 208:1 (2007), 280–301  crossref  mathscinet  zmath  adsnasa  isi (cited: 69)  elib  scopus (cited: 66)
53. V. Burenkov, P. Jain, T. Tararykova, “On Hardy-Steklov and geometric Steklov operators”, Math. Nachr., 280:11 (2007), 1244–1256  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 4)
54. V. I. Burenkov, H. V. Guliyev, V. S. Guliyev, “On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces”, The interaction of analysis and geometry, Contemp. Math., 424, Amer. Math. Soc., Providence, RI, 2007, 17–32  crossref  mathscinet  zmath
55. V. I. Burenkov, P. D. Lamberti, “Spectral stability of general non-negative self-adjoint operators with applications to Neumann-type operators”, J. Differential Equations, 233:2 (2007), 345–379  crossref  mathscinet  zmath  adsnasa  isi (cited: 20)  scopus (cited: 17)

   2006
56. V. I. Burenkov, V. S. Guliev, G. V. Guliev, “Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces”, Dokl. Akad. Nauk, 409:4 (2006), 443–447  mathnet (cited: 8)  mathscinet

   2008
57. V. I. Burenkov, P. D. Lamberti, M. Lanza de Cristoforis, “Spectral Stability of Nonnegative Self-Adjoint Operators”, Journal of Mathematical Sciences, 149:4 (2008), 1417–1452  mathnet  crossref  mathscinet

   2006
58. V. I. Burenkov, P. D. Lamberti, “Spectral stability of elliptic selfadjoint differential operators with Dirichlet and Neumann boundary conditions”, Differential & difference equations and applications, Hindawi Publ. Corp., New York, 2006, 237–245  mathscinet  zmath
59. V. I. Burenkov, G. E. García Almeida, “Estimates of regularized solutions of integral equations of the first kind in anisotropic spaces with fractional orders of smoothness”, Inverse Problems, 22:5 (2006), 1739–1759  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2005
60. V. I. Burenkov, “Extension of Functions Preserving Certain Smoothness and Compactness of Embeddings for Spaces of Differentiable Functions”, Proc. Steklov Inst. Math., 248 (2005), 69–80  mathnet  mathscinet  zmath
61. V. I. Burenkov, P. D. Lamberti, “Spectral stability of nonnegative selfadjoint operators”, Dokl. Akad. Nauk, 403:2 (2005), 159–164  mathnet (cited: 2)  mathscinet  zmath  scopus (cited: 3)

   2004
62. V. I. Burenkov, A. Senouci, “On integral inequalities involving differences”, J. Comput. Appl. Math., 171:1-2 (2004), 141–149  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 1)
63. V. I. Burenkov, H. V. Guliyev, “Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces”, Studia Math., 163:2 (2004), 157–176  crossref  mathscinet  zmath  isi (cited: 107)  scopus (cited: 101)

   2003
64. V. I. Burenkov, “Lifting properties of Sobolev spaces”, Function spaces, differential operators and nonlinear analysis (Teistungen, 2001), Birkhäuser, Basel, 2003, 231–236  crossref  mathscinet  zmath
65. V. I. Burenkov, V. A. Gusakov, “On Sharp Constants in Inequalities for the Modulus of a Derivative”, Proc. Steklov Inst. Math., 243 (2003), 98–119  mathnet  mathscinet  zmath
66. V. I. Burenkov, G. V. Guliev, “Necessary and sufficient conditions for the boundedness of the maximal operator in local spaces of Morrey type”, Dokl. Akad. Nauk, 391:5 (2003), 591–594  mathnet (cited: 7)  mathscinet  zmath
67. V. I. Burenkov, “Sharp estimates for integrals over small intervals for functions possessing some smoothness”, Progress in analysis, Vol. I, II (2001, Berlin), World Sci. Publ., River Edge, NJ, 2003, 45–56  mathscinet
68. V. I. Burenkov, G. E. Garcia Almeida, “Estimates of regularized solutions of equations of convolution type in anisotropic function spaces with noninteger order of smoothness”, Progress in analysis, Vol. I, II (2001, Berlin), World Sci. Publ., River Edge, NJ, 2003, 15–22  mathscinet
69. V. I. Burenkov, G. E. García Almeida, “Estimates for convolutions in the anisotropic Nikol'skiĭ-Besov spaces”, J. Funct. Spaces Appl., 1:1 (2003), 91–106  crossref  mathscinet  zmath
70. V. I. Burenkov, G. E. García Almeida, “Equivalent quasinorms for the anisotropic Nikol'skiĭ-Besov spaces on a cone of functions with a regular Fourier transform”, Math. Inequal. Appl., 6:3 (2003), 497–508  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)

   2002
71. V. I. Burenkov, E. B. Davies, “Spectral stability of the Neumann Laplacian”, J. Differential Equations, 186:2 (2002), 485–508  crossref  mathscinet  zmath  adsnasa  isi (cited: 45)  scopus (cited: 44)

   2001
72. V. I. Burenkov, T. V. Tararykova, “Inequalities for mean values over quasiballs for functions defined on arbitrary open sets”, Math. Inequal. Appl., 4:1 (2001), 19–33  mathscinet  zmath  isi  scopus

   2000
73. V. I. Burenkov, “Extension theorems for Sobolev and more general spaces for degenerate open sets”, Proceedings of the Second ISAAC Congress, Vol. 2 (1999, Fukuoka), Int. Soc. Anal. Appl. Comput., 8, Kluwer Acad. Publ., Dordrecht, 2000, 1135–1141  mathscinet  zmath
74. V. I. Burenkov, G. A. Kalyabin, “Lower estimates of the norms of extension operators for Sobolev spaces on the halfline”, Math. Nachr., 218 (2000), 19–23  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   1999
75. R. Brown, V. Burenkov, S. Clark, D. Hinton, “Second order Opial inequalities in $\scr L^p$-spaces and applications”, Analytic and geometric inequalities and applications, Math. Appl., 478, Kluwer Acad. Publ., Dordrecht, 1999, 37–52  mathscinet  zmath
76. V. I. Burenkov, “Extension theory for Sobolev spaces on open sets with Lipschitz boundaries”, Nonlinear analysis, function spaces and applications, Vol. 6 (Prague, 1998), Acad. Sci. Czech Repub., Prague, 1999, 1–49  mathscinet  zmath
77. V. Burenkov, “Extension theorems for Sobolev spaces”, The Maz'ya anniversary collection, Vol. 1 (1998, Rostock), Oper. Theory Adv. Appl., 109, Birkhäuser, Basel, 1999, 187–200  mathscinet  zmath
78. V. I. Burenkov, M. L. Gol'dman, “On exact analogues of the Hardy inequality for differences in the case of related weights”, Dokl. Akad. Nauk, 366:2 (1999), 155–157  mathnet (cited: 4)  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
79. V. I. Burenkov, M. L. Gol'dman, “Hardy-Type Inequalities for Moduli of Continuity”, Proc. Steklov Inst. Math., 227 (1999), 87–103  mathnet  mathscinet  zmath
80. V. I. Burenkov, T. V. Verdiev, “Extension by Zero of Functions in Spaces with Generalized Smoothness for Degenerate Domains”, Proc. Steklov Inst. Math., 227 (1999), 73–86  mathnet  mathscinet  zmath

   1998
81. V. I. Burenkov, L. D. Kudryavtsev, I. V. Neverov, “Concerning an identity for differences of arbitrary order”, Math. Notes, 64:2 (1998), 256–261  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)
82. E. I. Berezhnoi, V. I. Burenkov, “Improved interpolation theorems for a class of linear operators”, Izv. Math., 62:4 (1998), 651–671  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
83. V. I. Burenkov, W. D. Evans, “On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms”, Proc. Roy. Soc. Edinburgh Sect. A, 128:5 (1998), 993–1005  crossref  mathscinet  zmath  scopus (cited: 25)
84. V. Burenkov, B. Schulze-Wolfgang, N. N. Tarkhanov, “Extension operators for Sobolev spaces commuting with a given transform”, Glasgow Math. J., 40:2 (1998), 291–296  crossref  mathscinet  zmath
85. V. I. Burenkov, W. D. Evans, “Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness”, J. London Math. Soc. (2), 57:1 (1998), 209–230  crossref  mathscinet  zmath  scopus (cited: 6)
86. V. I. Burenkov, Sobolev spaces on domains, Teubner-Texte zur Mathematik [Teubner Texts in Mathematics], 137, B. G. Teubner Verlagsgesellschaft mbH, Stuttgart, 1998 , 312 pp.  crossref  mathscinet  zmath
87. S. Barza, V. Burenkov, J. Pečarić, L. Persson-Erik, “Sharp multidimensional multiplicative inequalities for weighted $L_p$ spaces with homogeneous weights”, Math. Inequal. Appl., 1:1 (1998), 53–67  mathscinet  zmath  isi (cited: 11)  scopus (cited: 12)

   1997
88. V. I. Burenkov, W. D. Evans, M. L. Goldman, “On weighted Hardy and Poincaré-type inequalities for differences”, J. Inequal. Appl., 1:1 (1997), 1–10  mathscinet  zmath  isi (cited: 14)
89. V. I. Burenkov, V. A. Gusakov, “Exact constants in an inequality for the modulus of the derivative, and best approximations of a differentiation functional at a point of a segment”, Dokl. Akad. Nauk, 356:3 (1997), 295–296  mathnet (cited: 1)  mathscinet  zmath  isi  scopus
90. V. I. Burenkov, V. D. Èvans, “A weighted Hardy inequality for differences, and the complete continuity of the embedding of Sobolev spaces for domains of arbitrarily strong degeneration”, Dokl. Akad. Nauk, 355:5 (1997), 583–585  mathnet (cited: 3)  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
91. V. I. Burenkov, A. L. Gorbunov, “Exact bounds for the minimum norm of extension operators for Sobolev spaces”, Izv. Math., 61:1 (1997), 1–43  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 1)

   1996
92. V. I. Burenkov, W. D. Evans, “On compact embeddings of Sobolev spaces and extension operators which preserve some smoothness”, Function spaces, differential operators and nonlinear analysis (Paseky nad Jizerou, 1995), Prometheus, Prague, 1996, 17–26  mathscinet  zmath
93. V. I. Burenkov, N. B. Viktorova, “The embedding theorem for Sobolev spaces with mixed norm for limit exponents”, Math. Notes, 59:1 (1996), 45–51  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)

   1995
94. V. I. Burenkov, A. S. Pankratov, “Estimates of regularized solutions of convolution-type equations in the spaces of functions with derivatives of fractional orders”, Tr. Semin. im. I. G. Petrovskogo, 1995, no. 18, 170–194  mathscinet
95. V. I. Burenkov, M. L. Gol'dman, “Calculation of the norm of a positive operator on the cone of monotone functions”, Proc. Steklov Inst. Math., 210 (1995), 47–65  mathnet  mathscinet  zmath

   1994
96. J. Bergh, V. Burenkov, L. E. Persson, “On some sharp reversed Hölder and Hardy type inequalities”, Math. Nachr., 169 (1994), 19–29  crossref  mathscinet  zmath  isi (cited: 15)
97. V. I. Burenkov, A. Senusi, “Estimates for constants in additivity inequalities for function spaces”, Siberian Math. J., 35:1 (1994), 21–36  mathnet  crossref  mathscinet  zmath  isi (cited: 1)
98. J. Bergh, V. Burenkov, L. E. Persson, “Best constants in reversed Hardy's inequalities for quasimonotone functions”, Acta Sci. Math. (Szeged), 59:1-2 (1994), 221–239  mathscinet  zmath
99. S. M. Nikol'skii, L. D. Kudryavtsev, O. V. Besov, S. I. Pokhozhaev, S. A. Telyakovskii, V. A. Il'in, V. I. Burenkov, S. B. Stechkin, N. V. Miroshin, V. S. Kryuchkov, “Petr Ivanovich Lizorkin (obituary)”, Russian Math. Surveys, 49:3 (1994), 177–179  mathnet  crossref  mathscinet  adsnasa  isi

   1993
100. V. I. Burenkov, A. L. Gorbunov, “A two-sided estimate for the minimal norm of the extension operator for Sobolev spaces”, Dokl. Math., 47:3 (1993), 589–592  mathnet  mathscinet  zmath  isi
101. B. E. Batyrov, V. I. Burenkov, “Estimates for convolutions in Nikol'skii–Besov spaces”, Dokl. Math., 47:3 (1993), 362–365  mathnet  mathscinet  zmath  isi
102. V. I. Burenkov, “Fourier multipliers in weighted $L_p$-spaces with exponential weights”, Report, Proceedings of the Fourth Finnish-Polish Summer School in Complex Analysis at Jyväskylä (1992), 55, Univ. Jyväskylä, Jyväskylä, 1993, 5–12  mathscinet  zmath

   1994
103. V. I. Burenkov, M. Sh. Tuyakbaev, “On Fourier integral multipliers in weighted $L_p$-spaces with an exponential weight. II”, Proc. Steklov Inst. Math., 204 (1994), 69–96  mathnet  mathscinet  zmath
104. V. I. Burenkov, V. A. Gusakov, “On precise constants in Sobolev imbedding theorems. III”, Proc. Steklov Inst. Math., 204 (1994), 57–67  mathnet  mathscinet  zmath

   1992
105. V. I. Burenkov, “Conditional hypoellipticity and Fourier multipliers for weighted $L_p$-spaces with an exponential weight”, Teubner-Texte Math., 133, Teubner, Stuttgart, 1992, 256–263 Friedrichroda  crossref  mathscinet
106. V. I. Burenkov, V. A. Gusakov, “On exact constants in Sobolev embedding theorems. II”, Dokl. Math., 45:3 (1992), 572–577  mathnet  mathscinet  zmath  isi

   1994
107. V. I. Burenkov, P. M. Badzhrachariya, “Approximation by infinitely differentiable vectorfunctions with preservation of the image for various functional spaces”, Proc. Steklov Inst. Math., 201 (1994), 125–135  mathnet  mathscinet  zmath

   1993
108. V. I. Burenkov, “On the best constant in Hardy's inequality with $0<p<1$ for monotone functions”, Proc. Steklov Inst. Math., 194 (1993), 59–63  mathnet  mathscinet  zmath
109. P. M. Badzhrachariya, V. I. Burenkov, “Necessary and sufficient conditions for continuity with respect to a nonlinear translation for various function spaces”, Proc. Steklov Inst. Math., 194 (1993), 1–12  mathnet  mathscinet  zmath

   1991
110. V. I. Burenkov, Funktsionalnye prostranstva. Prostranstva Soboleva. Chast I, Univ. Druzhby Narodov, Moscow, 1991 , 63 pp.  mathscinet

   1992
111. V. I. Burenkov, M. Sh. Tuyakbaev, “Multipliers of the Fourier integral in weighted $L_p$-spaces with an exponential weight”, Dokl. Math., 44:2 (1992), 365–369  mathnet  mathscinet  zmath  isi

   1991
112. V. I. Burenkov, O. P. Kruglikova, E. M. Semenov, M. S. Chunaeva, A. V. Strauss, “XV School on Operator Theory in Functional Spaces”, Uspekhi Mat. Nauk, 46:3(279) (1991), 230–231  mathnet

   1990
113. V. I. Burenkov, I. F. Dorofeev, I. L. Kutsenko, A. S. Pankratov, “Regularized approximation in Nikol'skiĭ-Besov spaces on a segment”, Qualitative methods in the theory of functions and differential equations, Univ. Druzhby Narodov, Moscow, 1990, 23–26 (Russian)  mathscinet
114. V. I. Burenkov, “On estimates of Fourier transforms and convolutions in Nikol'skii–Besov spaces”, Proc. Steklov Inst. Math., 187 (1990), 35–44  mathnet  mathscinet  zmath

   1989
115. V. I. Burenkov, I. F. Dorofeev, A. S. Pankratov, “Estimates for regularized solutions of equations of convolution type in spaces of functions with a noninteger order of differentiation”, Dokl. Math., 38:3 (1989), 506–510  mathnet  mathscinet  zmath  isi
116. V. I. Burenkov, “A theorem on iterated norms for Nikol'skij–Besov spaces, and its application”, Proc. Steklov Inst. Math., 181 (1989), 29–42  mathnet  mathscinet  zmath

   1988
117. B. E. Batyrov, V. I. Burenkov, “Averaging operator in the $L_p$ spaces for $0<p<1$”, Math. Notes, 43:1 (1988), 23–26  mathnet  crossref  mathscinet  zmath  isi (cited: 1)

   1987
118. V. I. Burenkov, A. È. Komarov, “Conditions for the equality to zero of the product of an infinitely differentiable function by a generalized one”, Math. Notes, 42:1 (1987), 513–515  mathnet  crossref  mathscinet  zmath  isi
119. V. I. Burenkov, V. A. Gusakov, “On exact constants in Sobolev embedding theorems”, Dokl. Akad. Nauk SSSR, 294:6 (1987), 1293–1297  mathnet (cited: 2)  mathscinet  zmath  adsnasa  isi (cited: 3)
120. V. I. Burenkov, K. R. Maman, “Local and global estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations”, Dokl. Akad. Nauk SSSR, 294:4 (1987), 777–781  mathnet  mathscinet  zmath  isi

   1989
121. V. I. Burenkov, “Approximation by infinitely differentiable functions with preservation of boundary values”, Proc. Steklov Inst. Math., 180 (1989), 76–79  mathnet  zmath

   1987
122. V. I. Burenkov, K. R. Maman, “Local and global estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations”, Dokl. Akad. Nauk SSSR, 294:4 (1987), 777–781  mathnet  mathscinet  zmath
123. M. E. Bogovskii, V. I. Burenkov, A. A. Dezin, V. P. Maslov, S. M. Nikol'skii, I. M. Petunin, S. L. Sobolev, “Vera Nikolaevna Maslennikova (on her sixtieth birthday)”, Russian Math. Surveys, 42:4 (1987), 187–189  mathnet  crossref  mathscinet  adsnasa  isi

   1986
124. V. I. Burenkov, K. R. Maman, “Local estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1986, 15–29 (Russian)  mathscinet
125. V. I. Burenkov, P. M. Badzhrachariya, “Generalization of the property of continuity with respect to the displacement of functions in $L_p$”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1986, 3–14 (Russian)  mathscinet

   1987
126. V. I. Burenkov, “Exact constants in inequalities for norms of intermediate derivatives on a finite interval. II”, Proc. Steklov Inst. Math., 173 (1987), 39–50  mathnet  mathscinet  zmath
127. V. I. Burenkov, E. M. Popova, “Improvement of extension operators by means of approximation operators that preserve boundary values”, Proc. Steklov Inst. Math., 173 (1987), 51–56  mathnet  mathscinet  zmath

   1985
128. V. I. Burenkov, Sh. D. Sobnak, “Equivalent norms in Nikol'skiĭ-Besov spaces containing differences of fractional order”, Boundary value problems of mathematical physics and some problems in the theory of function spaces, Univ. Druzhby Narodov, Moscow, 1985, 9–20 (Russian)  mathscinet
129. V. I. Burenkov, Kh. M. Dzhafar, “The nonuniqueness of polynomials deviating least from zero, with a fixed coefficient for the lowest power”, Boundary value problems of mathematical physics and some problems in the theory of function spaces, Univ. Druzhby Narodov, Moscow, 1985, 3–8 (Russian)  mathscinet

   1987
130. V. I. Burenkov, “Extension of functions with preservation of Sobolev seminorm”, Proc. Steklov Inst. Math., 172 (1987), 81–95  mathnet  mathscinet  zmath

   1984
131. V. I. Burenkov, V. A. Gusakov, “The exact constant in Sobolev's embedding theorem in the space of continuous functions”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1984, 16–21  mathscinet
132. V. I. Burenkov, I. Adnan, “Inequalities for weighted repeated fractional norms and weighted spaces of infinitely differentiable functions”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1984, 3–15  mathscinet

   1983
133. V. I. Burenkov, K. R. Maman, “Sharp estimates for the rate of growth of derivatives of solutions of hypoelliptic equations depending on the behavior at infinity”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1983, 16–27  mathscinet
134. V. I. Burenkov, “Direct proof of the Campbell-Baker formula”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1983, 11–15  mathscinet

   1984
135. V. I. Burenkov, M. L. Gol'dman, “Interrelation of norms of operators in periodic and nonperiodic function spaces”, Proc. Steklov Inst. Math., 161 (1984), 53–112  mathnet  mathscinet  zmath

   1982
136. V. I. Burenkov, M. L. Gol'dman, “Estimates for operator norms in spaces of periodic and nonperiodic functions”, Dokl. Akad. Nauk SSSR, 267:6 (1982), 1289–1293  mathnet  mathscinet  mathscinet  zmath  isi
137. V. I. Burenkov, “Mollifying operators with variable step and their application to approximation by infinitely differentiable functions”, Nonlinear analysis, function spaces and applications, Vol. 2 (1982, Písek), Teubner-Texte zur Math., 49, Teubner, Leipzig, 1982, 5–37  mathscinet  zmath
138. V. I. Burenkov, M. L. Gol'dman, “Norming of periodic analogues of normed function spaces”, Dokl. Akad. Nauk SSSR, 264:2 (1982), 271–274  mathnet  mathscinet  mathscinet  zmath  isi

   1983
139. V. I. Burenkov, “Exact constants in inequalities for norms of intermediate derivatives on a finite interval”, Proc. Steklov Inst. Math., 156 (1983), 23–30  mathnet  mathscinet  zmath

   1981
140. V. I. Burenkov, B. L. Fain, “Extension of functions from anisotropic spaces with preservation of class”, Proc. Steklov Inst. Math., 150 (1981), 55–70  mathnet  mathscinet  zmath
141. V. I. Burenkov, M. L. Gol'dman, “Extension of functions from $L_p$”, Proc. Steklov Inst. Math., 150 (1981), 33–53  mathnet  mathscinet  zmath
142. V. I. Burenkov, “Partitions of unity”, Proc. Steklov Inst. Math., 150 (1981), 25–31  mathnet  mathscinet  zmath

   1976
143. V. I. Burenkov, “A method for the approximation and extension of differentiable functions defined in a domain”, Imbedding theorems and their applications (Proc. All-Union Sympos., Alma-Ata, 1973), Nauka, Kazah. SSR, Alma-Ata, 1976, 29–31  mathscinet

   1979
144. V. I. Burenkov, “A way of continuing differentiable functions”, Proc. Steklov Inst. Math., 140 (1979), 27–70  mathnet  mathscinet  zmath

   1976
145. V. I. Burenkov, “The extension of functions with preservation of the seminorm”, Dokl. Akad. Nauk SSSR, 228:4 (1976), 779–782  mathnet (cited: 3)  mathscinet  mathscinet  zmath
146. V. I. Burenkov, B. L. Faĭn, “The extension of functions from anisotropic spaces with preservation of class”, Dokl. Akad. Nauk SSSR, 228:3 (1976), 525–528  mathnet (cited: 2)  mathscinet  mathscinet  zmath

   1975
147. V. I. Burenkov, “The density of infinitely differentiable functions in spaces of functions specified on an arbitrary open set”, Theory of cubature formulas and applications of functional analysis to some problems in mathematical physics (Russian), Inst. Mat., Akad. Nauk SSSR Sibirsk. Otdel., Novosibirsk, 1975, 9–22  mathscinet
148. V. I. Burenkov, “The continuation of functions with preservation and with deterioration of their differential properties”, Dokl. Akad. Nauk SSSR, 224:2 (1975), 269–272  mathnet (cited: 2)  mathscinet  mathscinet  zmath

   1977
149. V. I. Burenkov, “On integration by parts and a problem on composition of absolutely continuous functions which arises in this connection”, Proc. Steklov Inst. Math., 134 (1977), 45–54  mathnet  mathscinet  zmath

   1974
150. V. I. Burenkov, “The approximation of functions in the space $W_p^r(\Omega )$ by compactly supported functions for an arbitrary open set $\Omega $”, Proc. Steklov Inst. Math., 131 (1974), 53–66  mathnet  mathscinet  zmath
151. V. I. Burenkov, “The density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set”, Proc. Steklov Inst. Math., 131 (1974), 39–51  mathnet  mathscinet  zmath
152. V. I. Burenkov, “Sobolev's integral representation and Taylor's formula”, Proc. Steklov Inst. Math., 131 (1974), 33–38  mathnet  mathscinet  zmath

   1973
153. V. I. Burenkov, “Regularized distance”, Trudy Moskov. Inst. Radiotehn. Èlektron. i Avtomat., 1973, no. Vyp. 67 Mat., 113–117, 152  mathscinet

   1972
154. V. I. Burenkov, “The approximation of functions in the space $C^{r}(\Omega )$ by functions of compact support, for an arbitrary open set $\Omega $”, Proc. Steklov Inst. Math., 116 (1972), 73–87  mathnet  mathscinet  zmath
155. V. I. Burenkov, “The approximations of functions from Sobolev spaces by functions with compact support in the case of an arbitrary open set”, Dokl. Akad. Nauk SSSR, 202 (1972), 259–262  mathnet (cited: 2)  mathscinet  mathscinet  zmath
156. V. I. Burenkov, “The approximation of functions from the space $C^{r}(\Omega )$ by functions of compact support for an arbitrary open set $\Omega $”, Dokl. Akad. Nauk SSSR, 202 (1972), 16–18  mathnet  mathscinet  mathscinet  zmath

   1971
157. A. F. Aslanjan, V. I. Burenkov, “A derivation of the Campbell-Baker formula by differentiation with respect to the parameter”, Trudy Moskov. Inst. Radiotehn. Èlektron. i Avtomat., 1971, no. 52 Mat., 8–11  mathscinet
158. V. I. Burenkov, “Formula for the differentiation of operator-valued functions depending on a parameter”, Math. Notes, 10:2 (1971), 546–552  mathnet  crossref  mathscinet  zmath

   1970
159. V. I. Burenkov, “The additivity property of the spaces $W_p^{(r)}(\Omega)$”, Imbedding theorems and their applications (Proc. Sympos., Baku, 1966), Nauka, Moscow, 1970, 47–52  mathscinet
160. V. I. Burenkov, “The influence of the decay at infinity of solutions of partial differential equations on their differential properties”, Imbedding theorems and their applications (Proc. Sympos., Baku, 1966), Nauka, Moscow, 1970, 34–46  mathscinet

   1969
161. V. I. Burenkov, “Additivity of the spaces $W_{p}^{r}$ and $B_{p}^{r}$, and embedding theorems for domains of general form”, Proc. Steklov Inst. Math., 105 (1969), 35–53  mathnet  mathscinet  zmath
162. V. I. Burenkov, “The superposition of absolutely continuous functions and the superposition of functions of bounded variation”, Dokl. Akad. Nauk SSSR, 189 (1969), 234–236  mathnet  mathscinet  mathscinet  zmath

   1968
163. V. I. Burenkov, “On imbedding theorems for the domain $R_k=\{\alpha_i h<x_i^{k_i}<\beta_i h;0<h<1\}$”, Math. USSR-Sb., 4:4 (1968), 457–462  mathnet  crossref  mathscinet  zmath
164. A. G. Aslanyan, V. I. Burenkov, “The integrability in quadratures of certain systems of linear differential equations”, Differ. Uravn., 4:7 (1968), 1241–1249  mathnet  mathscinet  zmath

   1967
165. V. I. Burenkov, “Infinite differentiability and analyticity of solutions decreasing at infinity of equations with constant coefficients”, Dokl. Akad. Nauk SSSR, 174 (1967), 1007–1010  mathnet (cited: 1)  mathscinet  mathscinet  zmath
166. V. I. Burenkov, “On the connection between the behavior of a solution of a partial differential equation at infinity and its differential properties”, Investigations in the theory of differentiable functions of many variables and its applications. Part 2, Work collection, Trudy Mat. Inst. Steklov., 89, 1967, 56–68  mathnet  mathscinet  zmath
167. V. I. Burenkov, “On the additivity of the classes of $W_p^{(r)}(\Omega )$”, Investigations in the theory of differentiable functions of many variables and its applications. Part 2, Work collection, Trudy Mat. Inst. Steklov., 89, 1967, 31–55  mathnet  mathscinet  zmath
168. A. G. Aslanyan, V. I. Burenkov, “A problem of N. P. Erugin on integrability by quadratures of a system of ordinary differential equations”, Differ. Uravn., 3:5 (1967), 811–819  mathnet  mathscinet
169. A. G. Aslanyan, V. I. Burenkov, “Refinement of a theorem of V. V. Morozov”, Differ. Uravn., 3:4 (1967), 687–691  mathnet  mathscinet

   1966
170. V. I. Burenkov, “Imbedding and extension theorems for classes of differentiable functions of several variables defined on the entire spaces”, Itogi Nauki. Ser. Matematika. Mat. Anal. 1965, VINITI, Moscow, 1966, 71–155  mathnet  mathscinet  zmath

   1965
171. V. I. Burenkov, “Certain properties of the spaces $W_p^{(r)}(\Omega)$ and $W_p^{(r,r)}(\Omega)$ for $0<r<1$”, Investigations in the theory of differentiable functions of many variables and its applications, Collection of articles, Trudy Mat. Inst. Steklov., 77, Nauka, Moscow, 1965, 72–88  mathnet  mathscinet  zmath
172. V. I. Burenkov, “Local lemmas for certain classes of differentiable functions”, Investigations in the theory of differentiable functions of many variables and its applications, Collection of articles, Trudy Mat. Inst. Steklov., 77, Nauka, Moscow, 1965, 65–71  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. On Hölder's inequality in Lebesgue spaces with variable summability exponent
V. I. Burenkov, T. V. Tararykova
Functional Analysis and applications
October 12, 2021 12:00   
2. Ограниченность обобщенного интеграла типа потенциала Рисса в простанствах типа Морри
V. I. Burenkov, M. A. Senouci
Functional Analysis and applications
September 7, 2021 12:00   
3. On the resent results in the theory of operators in general Morrey-type spaces
V. I. Burenkov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 12:15   
4. Теорема об обратной функции для квази-банаховых пространств.
Inverse function theorem for quasi-Banach spaces.

V. I. Burenkov
Functional Analysis and applications
May 18, 2021 12:00
5. Аналог неравенства Юнга для сверток функций для общих пространств типа Морри
V. I. Burenkov, T. V. Tararykova
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
April 6, 2016 16:00   
6. Recent progress in the study of the boundedness of classical operators of real analysis in general Morrey-type spaces
V. I. Burenkov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 10:40   
7. Необходимые и достаточные условия ограниченности классических операторов теории функций в общих пространствах типа Морри
V. I. Burenkov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
March 28, 2012 16:00
8. К итогам 8-го Международного съезда по математическому анализу и его применениям (ISAAC) (Москва, 22–27 августа 2011 года)
V. I. Burenkov, A. I. Kirillov, S. A. Rozanova, V. I. Savchin, A. G. Yagola
Meetings of the Section of Mathematics, Central House of Scientists of the Russian Academy of Sciences
October 20, 2011 18:30
9. Точные оценки спектральной устойчивости эллиптических операторов
V. I. Burenkov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 16, 2009 16:00

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