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Dubinin, Vladimir Nikolaevich

Total publications: 138 (132)
in MathSciNet: 120 (115)
in zbMATH: 117 (113)
in Web of Science: 74 (69)
in Scopus: 89 (89)
Cited articles: 106
Citations in Math-Net.Ru: 668
Citations in Web of Science: 274
Citations in Scopus: 418
Presentations: 13

Number of views:
This page:13446
Abstract pages:36247
Full texts:11038
References:3147
Dubinin, Vladimir Nikolaevich
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 2.06.1951
E-mail: ,
Keywords: Polynomials, rational functions, analytic functions, univalent functions, conformal mappings, covering theorems, distortion theorems, extremal decomposition, Schwarz's lemma, Lindelof principle, conformal invariants, capacities of sets and condensers, reduced moduli, harmonic measure, extremal length of family of curves, polarization, symmetrization, dissymmetrization, rearrangements, inequalities.
UDC: 517, 517.5, 517.53, 517.54, 517.57, 517.518.86, 517.956.224, 512.62, 517.956, 517.958, 517.547, 517.546
MSC: 30C10, 30C15, 30C25, 30C35, 30C55, 30C75, 30C80, 30C85, 31A15, 31B15, 31B35, 35L20, 35R30, 35Q99, 30D30, 30C45

Subject:

Geometric function theory, potential theory, isoperimetric inequalities in mathematical physics.
General symmetrization principles for various symmetrization-like transformation of condensers in n-space have been established for a wide range of capacities induced by functionals dependent on the argument, the function and its first partial derivatives. Generalized condensers having three and more plates on the Riemann sphere have been first introduced and studied. Common properties of these condensers and asymptotic formulas for their capacities under degeneration of some plates have been found. General approach to application of conformal capacity of condensers and their symmetrization in geometric theory of functions of a complex variable has been developed. In particular, new metric properties of plane sets have been found, extremal decomposition theorems with free poles and new covering and distortion theorems for univalent and multivalent functions proved. New properties of polynomials and rational functions have been established using geometric function theory methods. In particular, new Bernstein-type inequalities and some inequalities for zeros, critical points and critical values of polynomials have been proved.

Biography

Graduated with honors as mathematics major from the Far Eastern State University in 1973 and entered postgraduate course at the chair of function theory of the Kuban State University (Krasnodar) the same year. Depended PhD (candidate of Science) thesis entitled “Certain symmetrization-like transformations and covering problems in geometric theory of functions of a complex variable” at the Applied Mathematics and Mechanics Institute of the Ukranian Academy of Sciences (Donetsk) in 1977. Scientific Advisor – professor I.P. Mityuk. Defended habilitation thesis (Doctor of Science) entitled “Symmetrization method in geometric function theory” at the Mathematics Institute of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk). Has been elected correspondent member of the Russian Academy of Sciences (Far Eastern Branch) in 2003. Teaching – 1977-78 – assistant teacher, 1978-83 – senior teacher, 1983-1989 – docent (associate professor), 1989 – present full professor of the chair of mathematical analysis at the Far Eastern State University (at present chair of function theory and functional analysis). The head of the laboratory of mathematical analysis at the Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences since 1991.

   
Main publications:
  1. V. N. Dubinin, “On the change in harmonic measure under symmetrization”, Math. USSR-Sb., 52:1 (1985), 267–273  mathnet  crossref  mathscinet  zmath  isi
  2. V. N. Dubinin, “Capacities and geometric transformations of subsets in n-space”, Geometric and Functional Analysis, 3:4 (1993), 342-369  crossref  mathscinet  zmath  scopus
  3. V. N. Dubinin, “Symmetrization in the geometric theory of functions of a complex variable”, Russian Math. Surveys, 49:1 (1994), 1–79  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
  4. V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials”, St. Petersburg Math. J., 13:5 (2002), 717–737  mathnet  mathscinet  zmath
  5. V. N. Dubinin, “Inequalities for critical values of polynomials”, Sb. Math., 197:8 (2006), 1167–1176  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
  6. V. N. Dubinin, “Methods of geometric function theory in classical and modern problems for polynomials”, Russian Math. Surveys, 67:4 (2012), 599–684  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  7. V. N. Dubinin, “On one extremal problem for complex polynomials with constraints on critical values”, Siberian Math. J., 55:1 (2014), 63–71  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
  8. V. N. Dubinin, Condenser capacities and symmetrization in geometric function theory, Basel: Birkhauser / Springer, 2014 , xii+344 pp.  mathscinet  zmath  scopus
  9. V. N. Dubinin, “Circular symmetrization of condensers on Riemann surfaces”, Sb. Math., 206:1 (2015), 61–86  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  10. V. N. Dubinin, “Geometric estimates for the Schwarzian derivative”, Russian Math. Surveys, 72:3 (2017), 479–511  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

http://www.mathnet.ru/eng/person8736
https://scholar.google.com/citations?user=bEHYPGAAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:dubinin.vladimir-n
https://mathscinet.ams.org/mathscinet/MRAuthorID/204749
https://elibrary.ru/author_items.asp?authorid=2202
http://www.researcherid.com/rid/F-3307-2014
https://www.scopus.com/authid/detail.url?authorId=9742277200

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.N.Dubinin, E.G.Prilepkina, “Optimal Green energy points on the circles in d-space”, Journal of Mathematical Analysis and Applications, 499:2 (2021) (Article 125055)  crossref  isi  scopus
2. V.N.Dubinin, “Some remarks on rotation theorems for complex polynomials”, Siberian Electronic Mathematical Reports, 18:1 (2021), 369–376  mathnet  crossref  isi  scopus
3. V. N. Dubinin, “Sharp Inequalities for Rational Functions on a Circle”, Math. Notes, 110:1 (2021), 41–47  mathnet  crossref  crossref  isi  scopus

   2020
4. V. N. Dubinin, “The Schwarzian Derivative of a $p$-Valent Function”, Math. Notes, 107:6 (2020), 923–928  mathnet  crossref  crossref  crossref  zmath  isi  elib  scopus
5. V. N. Dubinin, Sibirsk. Mat. Zh., 61:4 (2020), 796–802  mathnet  crossref  zmath
6. V.N.Dubinin, “Pólya–Schur Inequality and the Green Energy of a Discrete Charge”, Doklady Mathematics, 101:3 (2020), 192–194  crossref  crossref  isi  scopus
7. V.N.Dubinin, “Distortion and Critical Values of the Finite Blaschke Product”, Constructive Approximation, 2020 (published online 18 September 2020)  crossref  isi  scopus

   2019
8. V. N. Dubinin, “On the Dual Mean-Value Conjecture for Complex Polynomials”, Math. Notes, 106:1 (2019), 133–135  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
9. V. N. Dubinin, “Circular symmetrization and Green function”, Dal'nevost. Mat. Zh., 19:1 (2019), 24–30  mathnet  zmath
10. V. N. Dubinin, “On holomorphic self-mappings of the unit disk”, Sib. elektron. matem. izv., 16 (2019), 1633–1639  mathnet  crossref  zmath  isi
11. V. N. Dubinin, “Green energy and extremal decompositions”, Probl. anal. Issues Anal., 8(26):3 (2019), 38–44  mathnet  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1);

   2018
12. V. N. Dubinin, “Some unsolved problems about condenser capacities on the plane”, Complex Analysis and Dynamical Systems, Ser.V: Trends in Mathematics. Editors: M.Agranovsky, A.Golberg,F.Jacobzon, D.Shoikhet, L.Zalcman, Birhauser, 2018, 81-92  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
13. V. N. Dubinin, “Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions”, J. Math. Anal. Appl., 467:1 (2018), 371-378  crossref  mathscinet  zmath  isi  scopus
14. V. N. Dubinin, “Lemniscate Zone and Distortion Theorems for Multivalent Functions. II”, Math. Notes, 104:5 (2018), 683–688  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
15. V. N. Dubinin, “Distortion theorem for complex polynomials”, Sib. elektron. matem. izv., 15 (2018), 1410–1415  mathnet (cited: 1)  crossref  mathscinet  zmath  isi  scopus (cited: 1)
16. 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  zmath  adsnasa  isi  elib
17. A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2017
18. V. N. Dubinin, “Geometric estimates for the Schwarzian derivative”, Russian Math. Surveys, 72:3 (2017), 479–511  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib  elib  scopus (cited: 3)
19. V. N. Dubinin, “The Kraus Inequality for Multivalent Functions”, Math. Notes, 102:4 (2017), 516–520  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
20. V. N. Dubinin, A. S. Afanaseva-Grigoreva, “On the lemniscates of rational functions”, Dal'nevost. Mat. Zh., 17:2 (2017), 201–209  mathnet  mathscinet  zmath  elib

   2018
21. V. N. Dubinin, “Lemniscate Zone and Distortion Theorems for Multivalent Functions”, Journal of Mathematical Sciences (United States), 234:5 (2018), 598–607  mathnet  crossref  mathscinet  mathscinet  zmath  scopus

   2016
22. V. N. Dubinin, “An Extremal Problem for the Derivative of a Rational Function”, Math. Notes, 100:5 (2016), 714–719  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 3)

   2017
23. V. N. Dubinin, “Critical values and moduli of derivative of a complex polynomial at its zeros”, J. Math. Sci. (N. Y.), 225:6 (2017), 877–882  mathnet  crossref  mathscinet  zmath  scopus

   2016
24. V. N. Dubinin, “The logarithmic energy of zeros and poles of a rational function”, Siberian Math. J., 57:6 (2016), 981–986  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 4)

   2015
25. V. N. Dubinin, “Circular symmetrization of condensers on Riemann surfaces”, Sb. Math., 206:1 (2015), 61–86  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib  elib  scopus (cited: 4)
26. V. N. Dubinin, “Schwarzian Derivative and Covering Arcs of a Pencil of Circles by Holomorphic Functions”, Math. Notes, 98:6 (2015), 920–925  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 3)

   2016
27. V. N. Dubinin, “Distortion theorems for circumferentially mean $p$-valent functions”, J. Math. Sci. (N. Y.), 217:1 (2016), 28–36  mathnet  crossref  mathscinet  zmath  elib  scopus

   2015
28. V. N. Dubinin, “Inequalities for harmonic measures with respect to non-overlapping domains”, Izv. Math., 79:5 (2015), 902–918  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 3)
29. V. N. Dubinin, V. Y. Kim, “Covering theorem for p-valent functions with Montel's normalization”, Journal of Mathematical Analysis and Applications, 428:1 (2015), 502-507  crossref  mathscinet  zmath  isi  scopus
30. V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2014
31. V. N. Dubinin, “Two-point boundary distortion estimate for Schwarzian derivative of holomorphic function”, FEMJ, 14:2 (2014), 191–199  mathnet  mathscinet  zmath  elib
32. V. N. Dubinin, “Asymptotic Behavior of the Capacity of a Condenser as Some of Its Plates Contract to Points”, Math. Notes, 96:2 (2014), 187–198  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)
33. V. N. Dubinin, “On the reduced modulus of the complex sphere”, Siberian Math. J., 55:5 (2014), 882–892  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
34. V. N. Dubinin, “On one extremal problem for complex polynomials with constraints on critical values”, Siberian Math. J., 55:1 (2014), 63–71  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 5)

   2015
35. V. N. Dubinin, “Inequalities for moduli of the circumferentially mean $p$-valent functions”, J. Math. Sci. (N. Y.), 207:6 (2015), 832–838  mathnet  crossref  mathscinet  zmath  scopus
36. V. N. Dubinin, “Bounded holomorphic functions covering no concentric circles”, J. Math. Sci. (N. Y.), 207:6 (2015), 825–831  mathnet  crossref  mathscinet  zmath  scopus (cited: 19)

   2014
37. V. N. Dubinin, “Four-point distortion theorem for complex polynomials”, Complex Variables and Elliptic Equations, 59:1 (2014), 59–66  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 5)
38. V. N. Dubinin, M. Vuorinen, “Ahlfors-Beurling conformal invariant and relative capacity of compact sets”, Proceedings of the Amer.Math.Soc., 142:11 (2014), 3865–3879  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 5)
39. V. N. Dubinin, Condenser capacities and symmetrization in geometric function theory, Basel: Birkhauser / Springer, 2014 , xii+344 pp.  mathscinet  zmath  scopus (cited: 69)
40. F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Russian Math. Surveys, 69:3 (2014), 565–568  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2013
41. V. N. Dubinin, V. Yu. Kim, “Generalized condensers and boundary distortion theorems for conformal mappings”, FEMJ, 13:2 (2013), 196–208  mathnet  mathscinet  zmath  elib
42. V. N. Dubinin, “Symmetrization of Condensers and Inequalities for Functions Multivalent in a Disk”, Math. Notes, 94:6 (2013), 876–884  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2014
43. V. N. Dubinin, “On the Jenkins covering circle theorem for holomorphic functions in a disk”, J. Math. Sci. (N. Y.), 200:5 (2014), 551–558  mathnet  crossref  mathscinet  zmath  scopus

   2013
44. V. N. Dubinin, “A Markov-type inequality and a lower bound for the moduli of critical values of polynomials”, Dokl. Math., 88:1 (2013), 449–450  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 4)

   2012
45. V. N. Dubinin, “On a Class of Univalent Functions”, FEMJ, 12:2 (2012), 184–194  mathnet  mathscinet  zmath  elib

   2013
46. V. N. Dubinin, “The Grötzsch and Teichmüller Extremal Problems on a Riemann Surface”, Math. Notes, 93:1 (2013), 50–57  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)

   2012
47. V. N. Dubinin, “Methods of geometric function theory in classical and modern problems for polynomials”, Russian Math. Surveys, 67:4 (2012), 599–684  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 13)
48. V. N. Dubinin, “A new version of circular symmetrization with applications to $p$-valent functions”, Sb. Math., 203:7 (2012), 996–1011  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 6)

   2013
49. V. N. Dubinin, “Some inequalities for polynomials and rational functions associated with a lemniscate”, J. Math. Sci. (N. Y.), 193:1 (2013), 45–54  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   2012
50. V. N. Dubinin, M. Vuorinen, “An extremal decomposition problem for harmonic measure”, Proceedings of the Amer.Math.Soc., 140:7 (2012), 2441–2446  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   2011
51. V. N. Dubinin, “On the distortion theorems for algebraic polynomials”, FEMJ, 11:1 (2011), 28–36  mathnet  mathscinet  zmath  elib
52. V. N. Dubinin, “Lower Bound for the Discrete Norm of a Polynomial on the Circle”, Math. Notes, 90:2 (2011), 284–287  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
53. V. N. Dubinin, “Boundary values of the Schwarzian derivative of a regular function”, Sb. Math., 202:5 (2011), 649–663  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)

   2012
54. V. N. Dubinin, S. I. Kalmukov, “On polynomials with constraints on circular arcs”, J. Math. Sci. (N. Y.), 184:6 (2012), 703–708  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
55. V. N. Dubinin, “On the preservation of conformal capacity under meromorphic functions”, J. Math. Sci. (N. Y.), 184:6 (2012), 699–702  mathnet  crossref  mathscinet  zmath  zmath  scopus (cited: 2)

   2011
56. V. N. Dubinin, D. B. Karp, “Two-sided bounds for the logarithmic capacity of multiple intervals”, J. Anal. Math., 113 (2011), 227–239  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 2)

   2010
57. V. N. Dubinin, D. A. Kirillova, “Some applications of extremal decompositions in the geometric function theory”, FEMJ, 10:2 (2010), 130–152  mathnet  mathscinet  elib
58. V. N. Dubinin, “Steiner symmetrization and the initial coefficients of univalent functions”, Izv. Math., 74:4 (2010), 735–742  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
59. V. N. Dubinin, “On the Finite-Increment Theorem for Complex Polynomials”, Math. Notes, 88:5 (2010), 647–654  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
60. V. N. Dubinin, “Lower bounds for the half-plane capacity of compact sets and symmetrization”, Sb. Math., 201:11 (2010), 1635–1646  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
61. V. N. Dubinin, E. G. Prilepkina, “Distortion theorems for univalent meromorphic functions on an annulus”, Siberian Math. J., 51:2 (2010), 229–243  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2011
62. V. N. Dubinin, “On the components of the lemniscate containing no critical points of a polynomial other than its zeros”, J. Math. Sci. (N. Y.), 178:2 (2011), 158–162  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
63. V. N. Dubinin, “Geometric versions of Schwarz lemma and symmetrization”, J. Math. Sci. (N. Y.), 178:2 (2011), 150–157  mathnet  crossref  mathscinet  zmath  scopus (cited: 5)

   2010
64. V. N. Dubinin, M. Vuorinen, “Robin functions and distortion theorems for regular mappings”, Math. Nachr., 283:11 (2010), 1589–1602  crossref  mathscinet  zmath  isi (cited: 7)  elib  scopus (cited: 10)

   2009
65. V. N. Dubinin, “Condenser capacity and symmetrization in the extremal decomposition problems”, FEMJ, 9:1-2 (2009), 84–93  mathnet  mathscinet  elib
66. V. N. Dubinin, “Quadratic forms involving Green's and Robin functions”, Sb. Math., 200:10 (2009), 1439–1452  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2010
67. V. N. Dubinin, “On I. P. Mityuk's results on the the behavior of the inner radius of a domain and the condenser's capacity under regular mappings”, J. Math. Sci. (N. Y.), 166:2 (2010), 145–154  mathnet  crossref  mathscinet  zmath  elib  scopus

   2009
68. V. N. Dubinin, M. Vuorinen, “On conformal moduli of polygonal quadrilaters”, Israel J.Math., 171 (2009), 111 – 125  crossref  mathscinet  zmath  isi (cited: 7)  elib  scopus (cited: 8)
69. V. N. Dubinin, T. Sugawa, “Dual mean value problem for complex polynomials”, Proc. Japan. Acad. Ser.A, Math.Sci., 85:9 (2009), 135 – 137  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 5)
70. V. N. Dubinin, Condenser capacity and symmetrization in the geometric function theory of a complex variable, Dalnauka, Vladivostok, 2009 , 401 pp. https://scholar.google.ru/scholar?hl=ru&as_sdt=0,5&cluster=18224154641338161455
71. V. N. Dubinin, G. V. Kuz'mina, “Igor Petrovich Mityuk (1928–1995). On the occasion of the 80 anniversary of birthday”, Analytical theory of numbers and theory of functions. Part 24, Zap. Nauchn. Sem. POMI, 371, POMI, St. Petersburg, 2009, 5  mathnet

   2008
72. V. N. Dubinin, D. B. Karp, V. A. Shlyk, “Selected problems of geometrical theory of functions and potential theory”, FEMJ, 8:1 (2008), 46–95  mathnet  mathscinet  elib
73. V. N. Dubinin, “Majorization Principles for Meromorphic Functions”, Math. Notes, 84:6 (2008), 751–755  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
74. V. N. Dubinin, “Condenser capacities and majorization principles in the geometric function theory of a complex variable”, Sib. Èlektron. Mat. Izv., 5 (2008), 465–482  mathnet  mathscinet  zmath  elib
75. V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting””, Sib. Èlektron. Mat. Izv., 5 (2008), 427–439  mathnet  zmath  elib

   2009
76. V. N. Dubinin, D. A. Kirillova, “On extremal decomposition problems”, J. Math. Sci. (N. Y.), 157:4 (2009), 573–583  mathnet  crossref  mathscinet  zmath

   2008
77. V. N. Dubinin, D. B. Karp, “Capacities of certain plane condensers and sets under simple geometric transformations”, Complex Variables and Elliptic Equations, 53:6 (2008), 607 – 622  crossref  mathscinet  zmath  isi (cited: 6)

   2007
78. V. N. Dubinin, V. Yu. Kim, “On the covering of radial segments under $p$-valent mappings of a disk and an annulus”, FEMJ, 7:1-2 (2007), 40–47  mathnet  mathscinet  elib
79. V. N. Dubinin, S. I. Kalmykov, “A majoration principle for meromorphic functions”, Sb. Math., 198:12 (2007), 1737–1745  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 2)

   2008
80. V. N. Dubinin, V. Yu. Kim, “Distortion theorems for bounded regular functions in the disk”, J. Math. Sci. (N. Y.), 150:3 (2008), 2018–2026  mathnet  crossref  mathscinet  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)

   2007
81. V. N. Dubinin, D. B. Karp, “Generalized condensers and distortion theorems for conformal mappings of planar domains”, In: The Interaction of Analysis and Geometry, Edited by: V.I.Burenkov, T.Iwaniec, and S.K.Vodopyanov, AMS Contemporary Mathematics, 424, AMER MATHEMATICAL SOC, P.O. BOX 6248, PROVIDENCE, RI 02940 USA, 2007, 33-51  crossref  mathscinet  zmath  isi (cited: 6)
82. V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, St. Petersburg Math. J., 18:3 (2007), 373–389  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 1)

   2006
83. V. N. Dubinin, “Lemniscates and Inequalities for the Logarithmic Capacities of Continua”, Math. Notes, 80:1 (2006), 31–35  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
84. V. N. Dubinin, “Inequalities for critical values of polynomials”, Sb. Math., 197:8 (2006), 1167–1176  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 6)

   2007
85. V. N. Dubinin, “Applications of the Schwarz lemma to inequalities for entire functions with constraints on zeros”, J. Math. Sci. (N. Y.), 143:3 (2007), 3069–3076  mathnet  crossref  mathscinet  zmath  elib (cited: 3)  elib (cited: 3)  scopus (cited: 19)
86. V. N. Dubinin, “Capacities of condensers, generalizations of Grötzsch Lemmas, and symmetrization”, J. Math. Sci. (N. Y.), 143:3 (2007), 3053–3068  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 1)

   2005
87. V. N. Dubinin, E. G. Prilepkina, “On the preservation of generalized reduced modulus under some geometric transformations of domains in the plane”, FEMJ, 6:1-2 (2005), 39–56  mathnet  elib
88. V. N. Dubinin, “Polynomials with Critical Values on Intervals”, Math. Notes, 78:6 (2005), 768–772  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
89. V. N. Dubinin, “Schwarz's lemma and estimates of coefficients for regular functions with free domain of definition”, Sb. Math., 196:11 (2005), 1605–1625  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)

   2004
90. V. N. Dubinin, S. I. Kalmykov, “Extremal properties of Chebyshev polynomials”, FEMJ, 5:2 (2004), 169–177  mathnet

   2006
91. V. N. Dubinin, N. V. Eyrikh, “Some applications of generalized condensers to analytic function theory”, J. Math. Sci. (N. Y.), 133:6 (2006), 1634–1647  mathnet  crossref  mathscinet  zmath  elib (cited: 5)  elib (cited: 5)  scopus (cited: 8)

   2005
92. V. N. Dubinin, “Generalized condensers and the asymptotics of their capacities under degeneration of some plates”, J. Math. Sci. (N. Y.), 129:3 (2005), 3835–3842  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)
93. V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials. II”, J. Math. Sci. (N. Y.), 129:3 (2005), 3823–3834  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

   2003
94. V. N. Dubinin, Capacities of condensers in the geometric function theory, Far Eastern State University, Vladivostok, 2003 , 116 pp. https://scholar.google.com/scholar?cluster=12018319739435650108&hl=en&oi=scholarr
95. V. N. Dubinin, “Symmetrization methods in the geometric function theory”, Trudy po geometrii i analizu, Iz-vo Mat. Inst., Novosibirsk, 2003, 126–150

   2002
96. V. N. Dubinin, N. V. Eyrikh, “The generalized reduced modulus”, FEMJ, 3:2 (2002), 150–164  mathnet  elib
97. V. N. Dubinin, E. G. Prilepkina, “On the uniqueness theorems for the transformations of sets and condensers in the plane”, FEMJ, 3:2 (2002), 137–149  mathnet  elib
98. V. N. Dubinin, “On an application of conformal maps to inequalities for rational functions”, Izv. Math., 66:2 (2002), 285–297  mathnet  crossref  crossref  mathscinet  zmath  scopus (cited: 5)

   2004
99. V. N. Dubinin, A. V. Olesov, “Application of conformal mappings to the inequalities for polynomials”, J. Math. Sci. (N. Y.), 122:6 (2004), 3630–3640  mathnet  crossref  mathscinet  zmath
100. V. N. Dubinin, “On the Shwarz inequality on the boundary for functions regular in the disk”, J. Math. Sci. (N. Y.), 122:6 (2004), 3623–3629  mathnet  crossref  mathscinet  zmath

   2002
101. V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials”, St. Petersburg Math. J., 13:5 (2002), 717–737  mathnet  mathscinet  zmath

   2001
102. V. N. Dubinin, V. Yu. Kim, “Averaging transformation of sets and functions on Riemann surfaces”, Russian Math. (Iz. VUZ), 45:5 (2001), 19–27  mathnet  mathscinet  zmath  elib

   2003
103. V. N. Dubinin, E. V. Kostyuchenko, “Extremal problems in the function theory associated with the $n$-fold symmetry”, J. Math. Sci. (N. Y.), 118:1 (2003), 4778–4794  mathnet  crossref  mathscinet  zmath

   2000
104. V. N. Dubinin, “Distortion theorems for polynomials on a circle”, Sb. Math., 191:12 (2000), 1797–1807  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)

   2002
105. V. N. Dubinin, V. Yu. Kim, “Reduced moduli and inequalities for the polynomials”, J. Math. Sci. (New York), 110:6 (2002), 3070–3077  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)

   1999
106. E. G. Akhmedzyanova, V. N. Dubinin, “Radial transformations of sets, and inequalities for the transfinite diameter”, Russian Math. (Iz. VUZ), 43:4 (1999), 1–6  mathnet  mathscinet  zmath  elib
107. V. N. Dubinin, “The majorization principle for $p$-valent functions”, Math. Notes, 65:4 (1999), 447–453  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 1)
108. V. N. Dubinin, E. V. Kostyuchenko, “The Teichm\ddot uller extremal problem and distortion theorems in the theory of univalent functions”, Siberian Math. J., 40:2 (1999), 258–261  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   2001
109. V. N. Dubinin, E. G. Prilepkina, “On extremal decomposition of $n$-space domains”, J. Math. Sci. (New York), 105:4 (2001), 2180–2189  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)
110. V. N. Dubinin, L. V. Kovalev, “The reduced modulus of the complex sphere”, J. Math. Sci. (New York), 105:4 (2001), 2165–2179  mathnet  crossref  mathscinet  zmath  scopus (cited: 9)

   1998
111. V. N. Dubinin, “Reduced moduli of open sets in the theory of analytic functions”, Dokl. Math., 58:3 (1998), 458-461  mathnet  mathscinet  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   1999
112. V. N. Dubinin, “The asymptotics of module of a degenerating condenser and some of its applications”, J. Math. Sci. (New York), 95:3 (1999), 2209–2220  mathnet  crossref  mathscinet  zmath  scopus (cited: 8)

   1998
113. V. N. Dubinin, “Symmetrization, Green's function, and conformal mappings”, J. Math. Sci. (New York), 89:1 (1998), 967–975  mathnet  crossref  mathscinet  zmath  scopus (cited: 6)

   1996
114. L. A. Aksent'ev, I. A. Aleksandrov, G. K. Antonyuk, V. A. Babeshko, V. Ya. Gutlyanskii, V. N. Dubinin, B. E. Levitsii, Yu. A. Mitropol'skii, Yu. G. Reshetnyak, Yu. E. Hohlov, “Igor Petrovich Mityuk (obituary)”, Russian Math. Surveys, 51:2 (1996), 315–316  mathnet  crossref  crossref  mathscinet  adsnasa  isi

   1994
115. V. N. Dubinin, “Symmetrization in the geometric theory of functions of a complex variable”, Russian Math. Surveys, 49:1 (1994), 1–79  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 85)  scopus (cited: 49)
116. V. N. Dubinin, “Some properties of the reduced inner modulus”, Siberian Math. J., 35:4 (1994), 689–705  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 6)

   1993
117. V. N. Dubinin, “Capacities and geometric transformations of subsets in n-space”, Geometric and Functional Analysis, 3:4 (1993), 342-369  crossref  mathscinet  zmath  scopus (cited: 25)

   1994
118. V. N. Dubinin, “Transformations of condensers in $n$-space”, J. Math. Sci., 70:6 (1994), 2085–2096  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1990
119. V. N. Dubinin, “On the question of construction of symmetrization transformations”, Mathematical physics and mathematical simulation in ecology, 1, Far-Eastern Branch of the USSR Acad. Sci., Vladivostok, 1990, 55-69
120. V. N. Dubinin, “On the covering of radial segments under conformal mapping of a disk”, Siberian Math. J., 31:2 (1990), 230–242  mathnet  crossref  mathscinet  mathscinet  zmath  isi (cited: 1)  isi (cited: 1)  scopus (cited: 1)

   1988
121. V. N. Dubinin, “Distortion theorem in the theory of conformal mappings”, Math. Notes, 44:3 (1988), 668–674  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   1991
122. V. N. Dubinin, “A separating transformation of domains, and problems on extremal decomposition”, J. Soviet Math., 53:3 (1991), 252–263  mathnet  crossref  mathscinet  zmath  zmath  scopus (cited: 7)

   1988
123. V. N. Dubinin, The symmetrization method in geometric function theory, D. Sc. dissertation, Vladivostok, 1988

   1987
124. V. N. Dubinin, “Theorems on the covering of segments under a conformal mapping of an annulus”, Soviet Math. (Iz. VUZ), 31:9 (1987), 50–60  mathnet  mathscinet  zmath  isi

   1988
125. V. N. Dubinin, “Transformation of condensers in space”, Soviet Math. Dokl., 36:2 (1988), 217-219  mathnet  mathscinet  mathscinet  zmath  isi (cited: 8)

   1986
126. V. N. Dubinin, “An extremal problem for functions that are meromorphic in multiply connected domains”, Soviet Math. (Iz. VUZ), 30:10 (1986), 72–77  mathnet  mathscinet  zmath  isi

   1988
127. V. N. Dubinin, “On covering theorems in the theory of analytic functions”, J. Soviet Math., 43:4 (1988), 2553–2558  mathnet  crossref  mathscinet  zmath  zmath

   1986
128. V. N. Dubinin, “A symmetrization method and transfinite diameter”, Siberian Mathematical Journal, 27:2 (1986), 174-180 https://link.springer.com/content/pdf/10.1007/BF00969383.pdf  mathnet  crossref  mathscinet  mathscinet  mathscinet  zmath  zmath  isi (cited: 3)  isi (cited: 3)  scopus (cited: 3)

   1985
129. V. N. Dubinin, “Transformation of functions and Dirichlet's principle”, Math. Notes, 38:1 (1985), 539–542  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 4)

   1987
130. V. N. Dubinin, “The symmetrization method in problems on nonoverlapping domains”, Math. USSR-Sb., 56:1 (1987), 107–119  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 2)

   1985
131. V. N. Dubinin, “On the change in harmonic measure under symmetrization”, Math. USSR-Sb., 52:1 (1985), 267–273  mathnet  crossref  mathscinet  zmath  isi

   1980
132. V. N. Dubinin, “Coverings of vertical segments under a conformal mapping”, Math. Notes, 28:1 (1980), 476–480  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
133. V. N. Dubinin, “Some covering theorems in the theory of analytic functions”, Differential equations and functional analysis, Far-Eastern Science Centre, Acad. Sci. USSR, Vladivostok, 1980, 98-109  zmath

   1978
134. V. N. Dubinin, “The product of internal radii of “partially nonoverlapping” domains”, Questions in the metric theory of mappings and its application (Proc. Fifth Colloq. Quasiconformal Mappings, Generalizations Appl., Donetsk, 1976), Naukova Dumka, Kiev, 1978, 24-31  mathscinet

   1977
135. V. N. Dubinin, Some symmetrization transformations and covering theorems in the geometric theory of functions of a complex variable, Candidate’s dissertation, Krasnodar, 1977

   1976
136. V. N. Dubinin, “Some symmetrization transformations and their applications to covering theorems”, Mathematical analysis, No. 3. Kuban. Gos. Univ. Nauchn. Trudy, 217, 1976, 17-25
137. V. N. Dubinin, “On Hayman’s conjecture”, Mathematical analysis, No. 3. Kuban Gos. Univ. Nauchn. Trudy, 217, 1976, 26-34

   1974
138. V. N. Dubinin, “A certain symmetrization method”, Mathematical analysis, No. 2. Kuban. Gos. Univ. Naučn. Trudy, 180, Kuban. Gos. Univ., 1974, 50-64  mathscinet

Presentations in Math-Net.Ru
1. Upper bound for the least critical values of the finite Blaschke products
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
April 26, 2021 17:00
2. On the application of majorization principles to inequalities for polynomials and rational functions
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
March 1, 2021 17:00
3. On the Dual Mean-Value Conjecture for Complex Polynomials
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
November 18, 2019 17:00
4. A capacity look at the Schwarzian derivative
V. N. Dubinin
The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
August 14, 2019 10:30   
5. Pòlya–Schur inequality and the Green energy of a discrete charge
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
November 12, 2018 17:00
6. Schwarzian derivative, condenser capacities and symmetrization
V. N. Dubinin
International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2017 11:50   
7. On an extremal problem for the derivative of a rational function
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
October 24, 2016 17:00
8. Symmetrization of condensers and geometrical properties of multivalent functions
V. N. Dubinin
One-day conference dedicated to the memory of academician A. A Gonchar
December 23, 2015 11:00   
9. Inequalities for harmonic measures with respect to the nonoverlapping domains
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
May 25, 2015 18:00
10. A Markov-type inequality and a lower bound for the moduli of critical values of polynomials
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
May 27, 2013 18:00
11. The problem of extremal decomposition for harmonic measure
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
December 19, 2011 18:00
12. A new version of the circular symmetrization with applications to $p$-valent functions
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
May 16, 2011 18:00
13. On the boundary Schwarzian derivative of regular function
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
May 17, 2010 18:00

Organisations
 
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