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Stepanov, Vladimir Dmitrievich

Total publications: 129 (128)
in MathSciNet: 123 (122)
in zbMATH: 102 (102)
in Web of Science: 100 (99)
in Scopus: 99 (99)
Cited articles: 111
Citations in Math-Net.Ru: 277
Citations in Web of Science: 1051
Citations in Scopus: 949
Presentations: 14

Number of views:
This page:5523
Abstract pages:8000
Full texts:2019
References:781
Stepanov, Vladimir Dmitrievich
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1985)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 13.12.1949
E-mail: ,
Website: http://web-local.rudn.ru/web-local/prep/prep_3022
Keywords: integral and differential operators in function spaces.

http://www.mathnet.ru/eng/person21556
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196932
http://www.researcherid.com/rid/Q-6899-2016
http://www.scopus.com/authid/detail.url?authorId=7402660100

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


1. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Characterization of function spaces, associated with weighted Sobolev spaces of the first order on the real axis”, Uspekhi Mat. Nauk  mathnet  crossref

   2019
2. V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Operators and the Duality Principle in Weighted First-Order Sobolev Spaces on the Real Axis”, Math. Notes, 105:1 (2019), 91–103  mathnet  crossref  crossref  isi  elib  scopus
3. Pankaj Jain, Arun Pal Singh, Monika Singh, Vladimir D. Stepanov, “Sawyer's duality principle for grand Lebesgue spaces”, Math. Nachr., 292:4 (2019), 841–849  mathnet  crossref  isi  scopus
4. V. D. Stepanov, G. È. Shambilova, “Multidimensional bilinear Hardy inequalities”, Dokl. Math., 100:1 (2019), 374–376  mathnet  crossref  crossref  isi  elib  scopus
5. V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities with Volterra integral operators”, Dokl. Math., 99:3 (2019), 290–294  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
6. Vladimir D. Stepanov, Guldarya E. Shambilova, “On iterated and bilinear integral Hardy-type operators”, Math. Inequal. Appl., 22:4 (2019), 1505–1533  mathnet  crossref  isi

   2018
7. V. D. Stepanov, G. E. Shambilova, “Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions”, Siberian Math. J., 59:3 (2018), 505–522  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  scopus (cited: 4)
8. V. D. Stepanov, G. E. Shambilova, “On Weighted Iterated Hardy-Type Operators”, Anal. Math., 44:2 (2018), 273–283  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 1)
9. V. D. Stepanov, E. P. Ushakova, “Hardy-Steklov Operators and Duality Principle in Weighted Sobolev Spaces of the First Order”, Dokl. Math., 97:3 (2018), 232–235  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
10. V. D. Stepanov, G. È. Shambilova, “Iterated Integral Operators on the Cone of Monotone Functions”, Math. Notes, 104:3 (2018), 443–453  mathnet  crossref  crossref  mathscinet  mathscinet  isi (cited: 2)  elib  scopus
11. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376  mathnet  crossref  crossref  zmath  isi  elib  elib  scopus
12. P. Jain, A. P. Singh, M. Singh, V. D. Stepanov, “Sawyer duality principle in grand Lebesgue spaces”, Dokl. Math., 97:1 (2018), 18–19  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
13. Math. Notes, 104:6 (2018), 823–832  mathnet  crossref  crossref  isi (cited: 4)  elib  scopus (cited: 2)
14. P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 1)
15. L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Russian Math. Surveys, 73:1 (2018), 181–185  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib

   2017
16. Dmitrii V. Prokhorov, Vladimir D. Stepanov, Elena P. Ushakova, “On associate spaces of weighted Sobolev space on the real line”, Math. Nachr., 290:5 (2017), 890–912  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 5)
17. V. D. Stepanov, G. E. Shambilova, “On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions”, Eurasian Math. J., 8:2 (2017), 47–73  mathnet (cited: 2)  mathscinet  isi (cited: 4)  scopus (cited: 3)
18. V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities on the cone of nondecreasing functions”, Dokl. Math., 96:3 (2017), 631–635  mathnet  crossref  crossref  zmath  isi (cited: 3)  elib  scopus (cited: 3)
19. V. D. Stepanov, G. È. Shambilova, “Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions”, Dokl. Math., 96:1 (2017), 315–320  mathnet  crossref  crossref  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)

   2016
20. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus (cited: 4)

   2018
21. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators”, Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 6)

   2016
22. D. V. Prokhorov, V. D. Stepanov, “Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces”, Sb. Math., 207:8 (2016), 1159–1186  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib  elib  scopus (cited: 7)
23. V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Siberian Math. J., 57:5 (2016), 884–904  mathnet  crossref  crossref  mathscinet  isi (cited: 7)  elib  elib  scopus (cited: 6)
24. Lars-Erik Persson, Guldarya E. Shambilova, Vladimir D. Stepanov, “Weighted Hardy type inequalities for supremum operators on the cones of monotone functions”, J. Inequal. Appl., 2016, 237  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
25. V. D. Stepanov, G. È. Shambilova, “Boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 94:3 (2016), 697–702  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 3)

   2015
26. V. D. Stepanov, “On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions”, Math. Notes, 98:6 (2015), 957–970  mathnet  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  scopus (cited: 1)
27. L.-E. Persson, G. E. Shambilova, V. D. Stepanov, “Hardy-type inequalities on the weighted cones of quasi-concave functions”, Banach J. Math. Anal., 9:2 (2015), 21–34  mathnet (cited: 3)  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 7)  scopus (cited: 11)
28. Simon P. Eveson, Vladimir D. Stepanov, Elena P. Ushakova, “A duality principle in weighted Sobolev spaces on the real line”, Math. Nachr., 288:8 (2015), 877–897  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 2)  scopus (cited: 8)
29. V. D. Stepanov, “On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions”, Dokl. Math., 92:2 (2015), 545–547  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus

   2014
30. D. V. Prokhorov, V. D. Stepanov, “Estimates for a class of sublinear integral operators”, Dokl. Math., 89:3 (2014), 372–377  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 7)
31. L. Persson-E., O. V. Popova, V. D. Stepanov, “Weighted Hardy-type inequalities on the cone of quasi-concave functions”, Math. Inequal. Appl., 17:3 (2014), 879–898  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
32. A. Gogatishvili, L. Persson-Erik, V. D. Stepanov, P. Wall, “Some scales of equivalent conditions to characterize the Stieltjes inequality: the case $q<p$”, Math. Nachr., 287:2-3 (2014), 242–253  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 5)
33. V. D. Stepanov. G. E. Shambilova, “Weight boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 90:2 (2014), 569–572  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  scopus (cited: 3)

   2013
34. A. Gogatishvili, V. D. Stepanov, “Reduction theorems for weighted integral inequalities on the cone of monotone functions”, Russian Math. Surveys, 68:4 (2013), 597–664  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 40)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 25)
35. D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Proc. Steklov Inst. Math., 283 (2013), 149–164  mathnet  crossref  crossref  mathscinet  isi (cited: 23)  elib
36. D. V. Prokhorov, V. D. Stepanov, “Weighted estimates for a class of sublinear operators”, Dokl. Math., 88:3 (2013), 721–23  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 15)  scopus (cited: 11)
37. A. Gogatishvili, V. D. Stepanov, “Reduction theorems for operators on the cones of monotone functions”, J. Math. Anal. Appl., 405:1 (2013), 156–172  mathnet  crossref  mathscinet  zmath  isi (cited: 19)  elib (cited: 11)  scopus (cited: 19)

   2012
38. A. Gogatishvili, L.-E. Persson, V. D. Stepanov, P. Wall, “On scales of equivalent conditions characterizing weighted Stieltjes inequality”, Dokl. Math., 86:3 (2012), 738–739  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 3)
39. A. Gogatishvili, V. D. Stepanov, “Integral operators on cones of monotone functions”, Dokl. Math., 86:2 (2012), 650–653  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 3)
40. A. Gogatishvili, V. D. Stepanov, “Operators on cones of monotone functions”, Dokl. Math., 86:1 (2012), 562–565  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 6)  scopus (cited: 5)
41. V. D. Stepanov, “Spectral theory, function spaces and inequalities”, Oper. Theory: Adv. Appl., 219, Birkhäuser/Springer Basel AG, Basel, 2012, 233–242  mathnet  mathscinet  zmath  isi  scopus (cited: 4)

   2011
42. Doklady Mathematics, 84:1 (2011), 457–458  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 2)
43. V. D. Stepanov, S. Yu. Tikhonov, “Two power-weight inequalities for the Hilbert transform on the cones of monotone functions”, Complex Var. Elliptic Equ., 56:10-11 (2011), 1039–1047  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 4)  scopus (cited: 4)
44. Doklady Mathematics, 83:2 (2011), 241–242  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)

   2010
45. L. Persson-Erik, O. V. Popova, V. D. Stepanov, “Two-sided Hardy-type inequalities for monotone functions”, Complex Var. Elliptic Equ., 55:8-10 (2010), 973–989  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 6)
46. V. D. Stepanov, E. P. Ushakova, “Kernel operators with variable intervals of integration in Lebesgue spaces and applications”, Math. Inequal. Appl., 13:3 (2010), 449–510  mathscinet  zmath  isi (cited: 32)  elib (cited: 25)  scopus (cited: 31)
47. V. D. Stepanov, E. P. Ushakova, “On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces”, Banach J. Math. Anal., 4:1 (2010), 28–52  crossref  mathscinet  zmath  isi (cited: 10)  elib (cited: 7)  scopus (cited: 10)

   2009
48. V. D. Stepanov, L.-E. Persson, O. V. Popova, “Two-sided hardy-type inequalities for monotone functions”, Dokl. Math., 80:3 (2009), 814–817  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
49. V. D. Stepanov, “Sharp two-sided estimates of the approximation and entropy numbers of integral operators on the semiaxis”, East J. Approx., 15:3 (2009), 329–343  mathscinet
50. V. D. Stepanov, E. P. Ushakova, “Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces”, Math. Inequal. Appl., 12:4 (2009), 873–889  mathscinet  zmath  isi (cited: 9)  elib (cited: 9)  scopus (cited: 10)

   2008
51. V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278  mathnet  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 12)
52. Dokl. Math., 78:1 (2008), 541–543  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
53. M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413  mathscinet  zmath  isi (cited: 16)  elib (cited: 16)  scopus (cited: 16)
54. V. D. Stepanov, “An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives”, Proc. Amer. Math. Soc., 136:5 (2008), 1589–1597  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2007
55. L. Persson-Erik, V. Stepanov, P. Wall, “Some scales of equivalent weight characterizations of Hardy's inequality: the case $q<p$”, Math. Inequal. Appl., 10:2 (2007), 267–279  mathscinet  zmath  isi (cited: 14)  scopus (cited: 14)
56. E. N. Lomakina, V. D. Stepanov, “Asymptotic Estimates for the Approximation and Entropy Numbers of a One-Weight Riemann–Liouville Operator”, Siberian Adv. Math., 17:1 (2007), 1–36  mathnet  crossref  mathscinet  mathscinet  elib

   2006
57. L. Persson-E., V. D. Stepanov, E. P. Ushakova, “Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions”, Proc. Amer. Math. Soc., 134:8 (2006), 2363–2372  crossref  mathscinet  zmath  isi (cited: 16)  scopus (cited: 17)

   2005
58. V. D. Stepanov, “An Extremal Property of Chebyshev Polynomials”, Proc. Steklov Inst. Math., 248 (2005), 230–242  mathnet  mathscinet  zmath
59. Dokl. Math., 72:1 (2005), 555-557  mathnet  mathscinet  zmath  isi  scopus  scopus
60. Dokl. Math., 72:1 (2005), 574–575  mathnet  mathscinet  zmath  isi  scopus  scopus
61. Dokl. Math., 72:1 (2005), 491–494  mathnet  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)  scopus (cited: 3)

   2004
62. V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the integral operators with monotone kernel on a half-axis”, Siberian Math. J., 45:6 (2004), 1124–1134  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 7)

   2003
63. V. D. Stepanov, A. M. Khludnev, “The method of fictitious domains in the Signorini problem”, Siberian Math. J., 44:6 (2003), 1061–1074  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)
64. D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, Proc. Steklov Inst. Math., 243 (2003), 278–301  mathnet  mathscinet  zmath
65. Doklady Mathematics, 68:2 (2003), 163–166  mathnet  mathscinet  zmath  isi  scopus  scopus
66. Dokl. Math., 68:3 (2003), 409–413  mathnet  mathscinet  isi (cited: 1)  scopus (cited: 1)  scopus (cited: 1)
67. V. D. Stepanov, E. P. Ushakova, “Hardy operator with variable limits on monotone functions”, J. Funct. Spaces Appl., 1:1 (2003), 1–15  crossref  mathscinet  zmath

   2002
68. D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Siberian Math. J., 43:4 (2002), 694–707  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 7)
69. Doklady Mathematics, 65:1 (2002), 64–67  mathnet  mathscinet  zmath  isi (cited: 1)  scopus  scopus
70. L. Persson-Erik, V. D. Stepanov, “Weighted integral inequalities with the geometric mean operator”, J. Inequal. Appl., 7:5 (2002), 727–746  mathscinet  zmath  isi (cited: 38)  scopus (cited: 44)
71. M. Nassyrova, L. Persson-Erik, V. Stepanov, “On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform”, JIPAM. J. Inequal. Pure Appl. Math., 3:4 (2002), Article 48, 16 pp. (electronic)  mathscinet

   2001
72. V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309  mathnet  mathscinet  zmath
73. Dok. Math., 63:2 (2001), 201-202  mathnet  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)  scopus (cited: 4)
74. M. Carro, L. Pick, J. Soria, V. D. Stepanov, “On embeddings between classical Lorentz spaces”, Math. Inequal. Appl., 4:3 (2001), 397–428  mathscinet  zmath  isi (cited: 105)  scopus (cited: 104)
75. S. Barza, L. Persson-Erik, V. D. Stepanov, “On weighted multidimensional embeddings for monotone functions”, Math. Scand., 88:2 (2001), 303–319  mathscinet  zmath  isi (cited: 5)  scopus (cited: 7)

   2000
76. V. D. Stepanov, Nekotorye voprosy teorii integralnykh operatorov svertki, Dal'nauka, Vladivostok, 2000 , 228 pp.  mathscinet
77. E. N. Lomakina, V. D. Stepanov, “On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators”, Function spaces and applications (1997, Delhi), Narosa, New Delhi, 2000, 153–187  mathscinet  zmath
78. V. D. Stepanov, “On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators”, J. London Math. Soc. (2), 61:3 (2000), 905–922  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 9)

   1999
79. M. Nasyrova, V. Stepanov, “On maximal overdetermined Hardy's inequality of second order on a finite interval”, Math. Bohem., 124:2-3 (1999), 293–302  mathscinet  zmath
80. Doklady Mathematics, 60:1 (1999), 94–96  mathnet  mathscinet  zmath  isi  scopus  scopus

   1998
81. Doklady Mathematics, 57:2 (1998), 187–189  mathnet  mathscinet  zmath  isi  scopus  scopus
82. E. Lomakina, V. Stepanov, “On the Hardy-type integral operators in Banach function spaces”, Publ. Mat., 42:1 (1998), 165–194  crossref  mathscinet  zmath

   1997
83. M. Nasyrova, V. Stepanov, “On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints”, J. Inequal. Appl., 1:3 (1997), 223–238  mathscinet  zmath  isi (cited: 2)
84. V. D. Stepanov, “On the structure of certain class of Volterra integral operators and estimates of approximation numbers”, Recent topics in operator theory concerning the structure of operators (Japanese) (Kyoto, 1996), Sūrikaisekikenkyūsho Kōkyūroku, 1997, no. 979, 34–41  mathscinet  zmath

   1996
85. M. L. Gol'dman, H. P. Heinig, V. D. Stepanov, “On the principle of duality in Lorentz spaces”, Canad. J. Math., 48:5 (1996), 959–979  crossref  mathscinet  zmath  isi (cited: 56)  scopus (cited: 52)
86. G. Sinnamon, V. D. Stepanov, “The weighted Hardy inequality: new proofs and the case $p=1$”, J. London Math. Soc., 2nd series, 54:1 (1996), 89–101  crossref  mathscinet  zmath  isi (cited: 102)  scopus (cited: 97)
87. E. Lomakina, V. Stepanov, “On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces”, J. London Math. Soc. (2), 53:2 (1996), 369–382  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 8)

   1995
88. M. L. Gol'dman, V. D. Stepanov, H. P. Heinig, “On the principle of duality in Lorentz spaces”, Dokl. Math., 52:2 (1995), 264–267  mathnet  mathscinet  zmath  isi (cited: 2)
89. D. E. Edmunds, V. D. Stepanov, “On the singular numbers of certain Volterra integral operators”, J. Funct. Anal., 134:1 (1995), 222–246  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 12)

   1994
90. V. D. Stepanov, “On the singular numbers of a class of integral operators”, Dokl. Math., 49:3 (1994), 545–547  mathnet  mathscinet  zmath  isi
91. V. D. Stepanov, “Weighted norm inequalities for integral operators and related topics”, Nonlinear analysis, function spaces and applications, Vol. 5 (Prague, 1994), Prometheus, Prague, 1994, 139–175  mathscinet  zmath
92. E. A. Myasnikov, L. E. Persson, V. D. Stepanov, “On the best constants in certain integral inequalities for monotone functions”, Acta Sci. Math. (Szeged), 59:3-4 (1994), 613–624  mathscinet  zmath
93. M. Sh. Braverman, V. D. Stepanov, “On the discrete Hardy inequality”, Bull. London Math. Soc., 26:3 (1994), 283–287  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 7)
94. V. D. Stepanov, “Weighted norm inequalities of Hardy type for a class of integral operators”, J. London Math. Soc. (2), 50:1 (1994), 105–120  crossref  mathscinet  zmath  isi (cited: 49)  scopus (cited: 49)
95. D. E. Edmunds, V. D. Stepanov, “The measure of noncompactness and approximation numbers of certain Volterra integral operators”, Math. Ann., 298:1 (1994), 41–66  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 13)

   1993
96. V. D. Stepanov, D. E. Edmunds, “On the measure of noncompactness and approximation numbers of a class of Volterra integral operators”, Dokl. Math., 47:3 (1993), 618–623  mathnet  mathscinet  zmath
97. V. D. Stepanov, “On weighted estimates for a class of integral operators”, Siberian Math. J., 34:4 (1993), 755–766  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
98. V. D. Stepanov, “Integral operators on the cone of monotone functions”, J. London Math. Soc. (2), 48:3 (1993), 465–487  crossref  mathscinet  zmath  isi (cited: 44)  scopus (cited: 48)
99. H. P. Heinig, V. D. Stepanov, “Weighted Hardy inequalities for increasing functions”, Canad. J. Math., 45:1 (1993), 104–116  crossref  mathscinet  zmath  isi (cited: 29)
100. V. D. Stepanov, “The weighted Hardy's inequality for nonincreasing functions”, Trans. Amer. Math. Soc., 338:1 (1993), 173–186  mathscinet  zmath  isi (cited: 97)  scopus (cited: 90)

   1992
101. V. D. Stepanov, “Weighted inequalities for a class of Volterra convolution operators”, J. London Math. Soc. (2), 45:2 (1992), 232–242  crossref  mathscinet  zmath  isi (cited: 28)  scopus (cited: 26)

   1991
102. Siberian Mathematical Journal, 32:3 (1991), 540–542  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
103. V. D. Stepanov, “Integral operators on the cone of monotone functions and embeddings of Lorentz spaces”, Dokl. Akad. Nauk SSSR, 317:6 (1991), 1308–1311  mathnet (cited: 1)  mathscinet  zmath  isi (cited: 4)
104. V. D. Stepanov, “Two-weighted estimates of Riemann–Liouville integrals”, Math. USSR-Izv., 36:3 (1991), 669–681  mathnet  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  scopus (cited: 19)

   1990
105. Sberian Mathematical Journal, 31:3 (1990), 513–522  mathscinet  zmath  isi (cited: 7)  scopus (cited: 7)
106. V. D. Stepanov, “On the boundedness and compactness of a class of integral operators”, Dokl. Akad. Nauk SSSR, 312:3 (1990), 544–546  mathnet  mathscinet  zmath  isi (cited: 4)
107. V. D. Stepanov, “On one weighted inequality of Hardy type for higher derivatives”, Proc. Steklov Inst. Math., 187 (1990), 205–220  mathnet  mathscinet  zmath

   1989
108. Siberian Mathematical Journal, 30:3 (1989), 457–464  mathscinet  zmath  scopus
109. Siberian Mathematical Journal, 30:1 (1989), 8–16  crossref  mathscinet  zmath  isi (cited: 14)  scopus (cited: 13)

   1988
110. V. D. Stepanov, “Weighted inequalities of Hardy type for higher-order derivatives and their applications”, Dokl. Akad. Nauk SSSR, 302:5 (1988), 1059–1062  mathnet (cited: 2)  mathscinet  isi (cited: 3)
111. V. D. Stepanov, “Multipliers of Fourier integrals generated by characteristic functions of sets”, Dokl. Akad. Nauk SSSR, 299:5 (1988), 1068–1070  mathnet  mathscinet  zmath  isi

   1987
112. Siberian Mathematical Journal, 28:3 (1987), 515–517  mathscinet  zmath  scopus (cited: 6)

   1985
113. V. D. Stepanov, “On the vanishing of the symbol of a convolution integral operator”, Math. USSR-Sb., 51:1 (1985), 239–253  mathnet  crossref  mathscinet  zmath  scopus

   1984
114. V. D. Stepanov, “On a problem of Halmos and Sunder”, Dokl. Akad. Nauk SSSR, 278:2 (1984), 296–298  mathnet (cited: 1)  mathscinet  zmath  isi (cited: 2)
115. V. D. Stepanov, “On a problem for integral convolution operators”, Math. USSR-Sb., 48:1 (1984), 211–221  mathnet  crossref  mathscinet  zmath  isi  scopus
116. V. D. Stepanov, “Characteristic properties of convolution integral operators”, Proc. Steklov Inst. Math., 161 (1984), 241–250  mathnet  mathscinet  zmath

   1982
117. V. D. Stepanov, “Periodic multipliers of Fourier integrals”, Math. Notes, 32:2 (1982), 551–556  mathnet  crossref  mathscinet  zmath  isi  scopus
118. V. D. Stepanov, “An integral convolution operator with a narrow interval of action”, Analytic methods in the theory of elliptic equations, “Nauka” Sibirsk. Otdel., Novosibirsk, 1982, 88–107  mathscinet
119. V. D. Stepanov, “On a criterion of approximation to the identity in $L^{p}(E_{n})$ by convolution transforms of dilation type”, Anal. Math., 8:3 (1982), 233–238  crossref  mathscinet  zmath  scopus
120. V. B. Korotkov, V. D. Stepanov, “Criteria for the generation of integral operators by measurable functions”, Sibirsk. Mat. Zh., 23:2 (1982), 199–203, 218  mathscinet  zmath
121. Siberian Mathematical Journal, 23:2 (1982), 243–255  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   1981
122. V. D. Stepanov, “On multipliers of Fourier integrals”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1063–1065  mathnet  mathscinet  mathscinet  zmath  isi
123. V. D. Stepanov, “Characteristic properties of convolution integral operators”, Dokl. Akad. Nauk SSSR, 260:4 (1981), 806–808  mathnet  mathscinet  mathscinet  zmath  isi (cited: 2)

   1980
124. V. D. Stepanov, “Multipliers generated by hypoelliptic expressions”, Theory of cubature formulas and numerical mathematics (1978, Proc. Conf., Novosibirsk), “Nauka” Sibirsk. Otdel., Novosibirsk, 1980, 234–236, 256  mathscinet

   1979
125. V. B. Korotkov, V. D. Stepanov, “Some properties of integral operators of convolution”, Application of the methods of functional analysis to problems of mathematical physics and numerical analysis (Russian), Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1979, 64–68  mathscinet

   1978
126. V. D. Stepanov, “Absolute summability of the Fourier transform of functions of several variables”, Theory of cubature formulas and the application of functional analysis to problems of mathematical physics (Russian), Trudy Sem. S. L. Soboleva, No. 1, 1978, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1978, 116–121, 167  mathscinet
127. V. D. Stepanov, “Convolution integral operators”, Dokl. Akad. Nauk SSSR, 243:1 (1978), 45–48  mathnet  mathscinet  mathscinet  zmath  isi (cited: 4)

   1976
128. V. D. Stepanov, Differ. Uravn., 12:1 (1976), 129–136  mathnet  mathscinet  zmath

   1974
129. Siberian Mathematical Journal, 15:3 (1974), 496–501  mathscinet  zmath  scopus (cited: 1)

Presentations in Math-Net.Ru
1. Билинейные неравенства типа Харди в весовых пространствах Лебега
V. D. Stepanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
September 18, 2019 16:00   
2. Характеризация ассоциативных функциональных пространств
V. D. Stepanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 31, 2018 16:00   
3. Характеризация ассоциативных функциональных пространств
V. D. Stepanov
Seminar on Theory of Functions of Real Variables
October 12, 2018 18:30
4. A duality principle in the weighted Sobolev spaces on the real line
V. D. Stepanov
International Conference "Geometric Analysis and Control Theory"
December 8, 2016 10:00   
5. О весовых пространствах Соболева на действительной оси
V. D. Stepanov
Seminar on Theory of Functions of Real Variables
October 30, 2015 18:30
6. О весовых пространствах Соболева на действительной оси
V. D. Stepanov, D. V. Prokhorov, E. P. Ushakova
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 28, 2015 16:00
7. О весовых пространствах Соболева на полуоси
V. D. Stepanov, E. P. Ushakova
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 14:55
8. Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis
D. V. Prokhorov, V. D. Stepanov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 26, 2015 11:40   
9. Весовые неравенства для сублинейных операторов на полуоси
V. D. Stepanov
Seminar on Theory of Functions of Real Variables
April 24, 2015 18:30
10. Об оптимальных пространствах Банаха, содержащих конус убывающих или квазивогнутых функций
V. D. Stepanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
March 25, 2015 16:00
11. Об оценках квазилинейных интегральных операторов на полуоси
V. D. Stepanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
November 13, 2013 16:00
12. Reduction theorems for weighted integral inequalities on the cone of monotone functions
V. D. Stepanov
International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov
November 1, 2013 10:25   
13. Весовые неравенства на монотонных функциях
V. D. Stepanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 15, 2012 16:00
14. Интегральные неравенства на монотонных функциях
V. D. Stepanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 23, 2009 16:00

Books in Math-Net.Ru
  1. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, 2016, 186 с.
    http://mi.mathnet.ru/book1629

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