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Dubinin Vladimir Nikolaevich

Total publications: 126 (120)
in MathSciNet: 107 (103)
in zbMATH: 103 (101)
in Web of Science: 59 (55)
in Scopus: 78 (78)
Cited articles: 103
Citations in Math-Net.Ru: 596
Citations in Web of Science: 218
Citations in Scopus: 289
Presentations: 9

Number of views:
This page:9500
Abstract pages:25308
Full texts:6738
References:2132
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
Phone: +7 (4232) 348653
Fax: +7 (4232) 311856
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 УCertain symmetrization-like transformations and covering problems in geometric theory of functions of a complex variableФ at the Applied Mathematics and Mechanics Institute of the Ukranian Academy of Sciences (Donetsk) in 1977. Scientific Advisor Ц professor I.P. Mityuk. Defended habilitation thesis (Doctor of Science) entitled УSymmetrization method in geometric function theoryФ 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 Ц 1977-78 Ц assistant teacher, 1978-83 Ц senior teacher, 1983-1989 Ц docent (associate professor), 1989 Ц 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  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  scopus

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https://mathscinet.ams.org/mathscinet/MRAuthorID/204749
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Full list of publications:
| by years | by types | by times cited | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2018
1. 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  scopus (cited: 2)
2. V. N. Dubinin, “Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions”, J. Math. Anal. Appl., 467:1 (2018), 371-378  crossref  zmath  isi  scopus
3. V. N. Dubinin, “Lemniscate Zone and Distortion Theorems for Multivalent Functions. II”, Mat. Zametki, 104:5 (2018), 700–707  mathnet  crossref  elib
4. 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
5. 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)”, Uspekhi Mat. Nauk, 73:6(444) (2018), 204–210  mathnet  crossref  elib

   2017
6. 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: 2)  elib  scopus (cited: 2)
7. 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  scopus (cited: 1)
8. V. N. Dubinin, A. S. Afanaseva-Grigoreva, “On the lemniscates of rational functions”, Dal'nevost. Mat. Zh., 17:2 (2017), 201–209  mathnet  elib
9. V. N. Dubinin, “Poyas lemniskat i teoremy iskazheniya dlya mnogolistnykh funktsii”, Analiticheskaya teoriya chisel i teoriya funktsii. 33, Posvyaschaetsya pamyati Galiny Vasilevny KUZMINOI, Zap. nauchn. sem. POMI, 458 (2017), 17-30  mathnet (cited: 1)  mathscinet

   2016
10. 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  elib  scopus

   2017
11. 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
12. 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: 1)  elib  scopus (cited: 2)

   2015
13. 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: 3)  elib  elib  scopus (cited: 2)
14. 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  scopus (cited: 3)

   2016
15. 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
16. 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)
17. 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
18. 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
19. V. N. Dubinin, “Two-point boundary distortion estimate for Schwarzian derivative of holomorphic function”, FEMJ, 14:2 (2014), 191–199  mathnet  mathscinet  zmath  elib
20. 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: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
21. 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: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
22. 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 (cited: 3)

   2015
23. 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
24. V. N. Dubinin, “Bounded holomorphic functions covering no concentric circles”, J. Math. Sci. (N. Y.), 207:6 (2015), 825–831  mathnet  crossref  mathscinet (cited: 2)  zmath  scopus (cited: 10)

   2014
25. V. N. Dubinin, “Four-point distortion theorem for complex polynomials”, Complex Variables and Elliptic Equations, 59:1 (2014), 59Ц66  crossref  mathscinet (cited: 3)  zmath  isi (cited: 1)  scopus (cited: 3)
26. V. N. Dubinin, M. Vuorinen, “Ahlfors-Beurling conformal invariant and relative capacity of compact sets”, Proceedings of the Amer.Math.Soc., 142:11 (2014), 3865Ц3879  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  scopus (cited: 3)
27. V. N. Dubinin, Condenser capacities and symmetrization in geometric function theory, Basel: Birkhauser / Springer, 2014 , xii+344 pp.  mathscinet (cited: 12)  zmath  scopus (cited: 28)
28. 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

   2013
29. 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
30. 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: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2014
31. 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
32. V. N. Dubinin, “A Markov-type inequality and a lower bound for the moduli of critical values of polynomials”, Dokl. Math., 88:1 (2013), 449Ц450  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

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

   2013
34. 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
35. 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  isi (cited: 8)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 6)
36. 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
37. 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
38. V. N. Dubinin, M. Vuorinen, “An extremal decomposition problem for harmonic measure”, Proceedings of the Amer.Math.Soc., 140:7 (2012), 2441Ц2446  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  scopus (cited: 1)

   2011
39. V. N. Dubinin, “On the distortion theorems for algebraic polynomials”, FEMJ, 11:1 (2011), 28–36  mathnet  mathscinet  zmath  elib
40. 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)
41. 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: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)

   2012
42. 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)
43. 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
44. V. N. Dubinin, D. B. Karp, “Two-sided bounds for the logarithmic capacity of multiple intervals”, J. Anal. Math., 113 (2011), 227Ц239  crossref  mathscinet (cited: 2)  zmath  isi (cited: 1)  scopus (cited: 2)

   2010
45. 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
46. 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)
47. 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)
48. 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)
49. 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
50. 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)
51. 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
52. V. N. Dubinin, M. Vuorinen, “Robin functions and distortion theorems for regular mappings”, Math. Nachr., 283:11 (2010), 1589Ц1602  crossref  mathscinet (cited: 4)  zmath  isi (cited: 5)  scopus (cited: 8)

   2009
53. V. N. Dubinin, “Condenser capacity and symmetrization in the extremal decomposition problems”, FEMJ, 9:1-2 (2009), 84–93  mathnet  mathscinet  elib
54. 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
55. 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
56. V. N. Dubinin, M. Vuorinen, “On conformal moduli of polygonal quadrilaters”, Israel J.Math., 171 (2009), 111 Ц 125  crossref  mathscinet (cited: 4)  zmath  isi (cited: 6)  scopus (cited: 7)
57. V. N. Dubinin, T. Sugawa, “Dual mean value problem for complex polynomials”, Proc. Japan. Acad. Ser.A, Math.Sci., 85:9 (2009), 135 Ц 137  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  scopus (cited: 2)
58. 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
59. 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
60. 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
61. 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)
62. 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
63. 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
64. 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
65. 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 Ц 622  crossref  mathscinet (cited: 4)  zmath  isi (cited: 5)

   2007
66. 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
67. 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
68. 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: 2)

   2007
69. 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  mathscinet (cited: 2)  zmath  isi (cited: 5)
70. 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  scopus (cited: 1)

   2006
71. 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)
72. 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
73. 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: 5)
74. 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

   2005
75. 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
76. 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)
77. 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: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)

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

   2006
79. 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: 7)

   2005
80. 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)
81. 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
82. 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
83. V. N. Dubinin, “Symmetrization methods in the geometric function theory”, Trudy po geometrii i analizu, Iz-vo Mat. Inst., Novosibirsk, 2003, 126Ц150

   2002
84. V. N. Dubinin, N. V. Eyrikh, “The generalized reduced modulus”, FEMJ, 3:2 (2002), 150–164  mathnet  elib
85. 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
86. 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: 1)

   2004
87. 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
88. 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
89. V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials”, St. Petersburg Math. J., 13:5 (2002), 717–737  mathnet  mathscinet  zmath

   2001
90. 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
91. 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
92. V. N. Dubinin, “Distortion theorems for polynomials on a circle”, Sb. Math., 191:12 (2000), 1797–1807  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 2)

   2002
93. 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
94. 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
95. 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)
96. 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  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   2001
97. 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: 3)
98. 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: 8)

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

   1999
100. 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: 7)

   1998
101. 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: 4)

   1996
102. 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
103. 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: 74)  scopus (cited: 39)
104. 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
105. V. N. Dubinin, “Capacities and geometric transformations of subsets in n-space”, Geometric and Functional Analysis, 3:4 (1993), 342-369  crossref  mathscinet (cited: 18)  zmath  scopus (cited: 21)

   1994
106. 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
107. 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
108. V. N. Dubinin, “On the covering of radial segments under conformal mapping of a disk”, Siberian Math. J., 31:2 (1990), 230Ц242  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   1988
109. 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
110. V. N. Dubinin, “A separating transformation of domains, and problems on extremal decomposition”, J. Soviet Math., 53:3 (1991), 252Ц263  mathnet  crossref  mathscinet (cited: 24)  zmath  zmath  scopus (cited: 6)

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

   1987
112. 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
113. V. N. Dubinin, “Transformation of condensers in space”, Soviet Math. Dokl., 36:2 (1988), 217-219  mathnet  mathscinet  zmath  isi (cited: 6)

   1986
114. 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
115. V. N. Dubinin, “On covering theorems in the theory of analytic functions”, J. Soviet Math., 43:4 (1988), 2553Ц2558  mathnet  mathscinet (cited: 1)  zmath  zmath

   1986
116. 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  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   1985
117. 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
118. 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
119. 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
120. 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)
121. 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
122. 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
123. V. N. Dubinin, Some symmetrization transformations and covering theorems in the geometric theory of functions of a complex variable, CandidateТs dissertation, Krasnodar, 1977

   1976
124. 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
125. V. N. Dubinin, “On HaymanТs conjecture”, Mathematical analysis, No. 3. Kuban Gos. Univ. Nauchn. Trudy, 217, 1976, 26-34

   1974
126. 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. 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
2. 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   
3. 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
4. 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   
5. Inequalities for harmonic measures with respect to the nonoverlapping domains
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
May 25, 2015 18:00
6. 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
7. The problem of extremal decomposition for harmonic measure
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
December 19, 2011 18:00
8. 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
9. On the boundary Schwarzian derivative of regular function
V. N. Dubinin
Seminar on Complex Analysis (Gonchar Seminar)
May 17, 2010 18:00

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