RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Dubinin Vladimir Nikolaevich

Total publications: 90
Scientific articles: 86
in MathSciNet: 60
in zbMATH: 57
in Web of Science: 36
in Scopus: 40
Cited articles: 75
Citations in Math-Net.Ru: 520
Citations in MathSciNet: 344
Citations in Web of Science: 136
Citations in Scopus: 63
Presentations: 7

Number of views:
This page:7171
Abstract pages:19323
Full texts:5777
References:1519
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 “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. Дубинин В.Н., Емкости конденсаторов и симметризация в геометрической теории функций комплексного переменного, Дальнаука, Владивосток, 2009
  2. Дубинин В.Н., Емкости конденсаторов и симметризация в геометрической теории функций комплексного переменного, Дальнаука, 2009

http://www.mathnet.ru/eng/person8736
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:dubinin.vladimir-n
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=204749

Full list of publications:
| by years | by types | scientific publications | common list |



   2016
1. V. N. Dubinin, “An Extremal Problem for the Derivative of a Rational Function”, Math. Notes, 100:5 (2016), 714–719  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
2. V. N. Dubinin, “Critical values and moduli of derivative of a complex polynomial at its zeros”, Zap. Nauchn. Sem. POMI, 449, 2016, 60–68  mathnet  mathscinet
3. 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  isi  elib  scopus

   2015
4. 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: 1)  elib  elib  scopus (cited: 2)
5. 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  isi  elib  scopus
6. V. N. Dubinin, “Teoremy iskazheniya dlya funktsii, $p$-listnykh v srednem po okruzhnosti”, Analiticheskaya teoriya chisel i teoriya funktsii. 30, Zap. nauchn. sem. POMI, 440, POMI, SPb., 2015, 43–56  mathnet  mathscinet; V. N. Dubinin, “Distortion theorems for circumferentially mean $p$-valent functions”, J. Math. Sci. (N. Y.), 217:1 (2016), 28–36  crossref  mathscinet  elib  scopus
7. V. N. Dubinin, “Inequalities for harmonic measures with respect to non-overlapping domains”, Izv. Math., 79:5 (2015), 902–918  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
8. 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
9. V. N. Dubinin, “Two-point boundary distortion estimate for Schwarzian derivative of holomorphic function”, FEMJ, 14:2 (2014), 191–199  mathnet  elib
10. 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  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
11. V. N. Dubinin, “On the reduced modulus of the complex sphere”, Siberian Math. J., 55:5 (2014), 882–892  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
12. 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: 1)
13. V. N. Dubinin, “Neravenstva dlya modulei funktsii, $p$-listnykh v srednem po okruzhnosti”, Analiticheskaya teoriya chisel i teoriya funktsii. 29, Zap. nauchn. sem. POMI, 429, POMI, SPb., 2014, 44–54  mathnet (cited: 1); V. N. Dubinin, “Inequalities for moduli of the circumferentially mean $p$-valent functions”, J. Math. Sci. (N. Y.), 207:6 (2015), 832–838  crossref  scopus
14. V. N. Dubinin, “Golomorfnye ogranichennye funktsii, ne pokryvayuschie kontsentricheskikh okruzhnostei”, Analiticheskaya teoriya chisel i teoriya funktsii. 29, Zap. nauchn. sem. POMI, 429, POMI, SPb., 2014, 34–43  mathnet; V. N. Dubinin, “Bounded holomorphic functions covering no concentric circles”, J. Math. Sci. (N. Y.), 207:6 (2015), 825–831  crossref  scopus (cited: 2)
15. 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
16. V. N. Dubinin, V. Yu. Kim, “Generalized condensers and boundary distortion theorems for conformal mappings”, FEMJ, 13:2 (2013), 196–208  mathnet  elib
17. 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)
18. V. N. Dubinin, “K teoreme Dzhenkinsa o pokrytii okruzhnostei golomorfnymi v kruge funktsiyami”, Analiticheskaya teoriya chisel i teoriya funktsii. 28, Zap. nauchn. sem. POMI, 418, POMI, SPb., 2013, 60–73  mathnet (cited: 3); 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  crossref  scopus

   2012
19. V. N. Dubinin, “On a Class of Univalent Functions”, FEMJ, 12:2 (2012), 184–194  mathnet  elib
20. V. N. Dubinin, “Ekstremalnye zadachi Gretsha i Teikhmyullera na rimanovoi poverkhnosti”, Matem. zametki, 92:6 (2012), 834–843  mathnet (cited: 4)  crossref  zmath  elib (cited: 2); V. N. Dubinin, “The Grötzsch and Teichmüller Extremal Problems on a Riemann Surface”, Math. Notes, 93:1 (2013), 50–57  crossref  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 1)
21. 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: 5)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 5)
22. 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: 5)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 6)
23. V. N. Dubinin, “Nekotorye neravenstva dlya polinomov i ratsionalnykh funktsii, svyazannye s lemniskatami”, Analiticheskaya teoriya chisel i teoriya funktsii. 27, Zap. nauchn. sem. POMI, 404, POMI, SPb., 2012, 83–99  mathnet  mathscinet (cited: 1); V. N. Dubinin, “Some inequalities for polynomials and rational functions associated with a lemniscate”, J. Math. Sci. (N. Y.), 193:1 (2013), 45–54  crossref  mathscinet  scopus (cited: 1)

   2011
24. V. N. Dubinin, “On the distortion theorems for algebraic polynomials”, FEMJ, 11:1 (2011), 28–36  mathnet  elib
25. 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)
26. 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: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
27. V. N. Dubinin, S. I. Kalmykov, “O polinomakh s ogranicheniyami na dugakh okruzhnosti”, Analiticheskaya teoriya chisel i teoriya funktsii. 26, Zap. nauchn. sem. POMI, 392, POMI, SPb., 2011, 74–83  mathnet (cited: 3); V. N. Dubinin, S. I. Kalmukov, “On polynomials with constraints on circular arcs”, J. Math. Sci. (N. Y.), 184:6 (2012), 703–708  crossref  scopus (cited: 1)
28. V. N. Dubinin, “O sokhranenii konformnoi emkosti pri otobrazhenii meromorfnymi funktsiyami”, Analiticheskaya teoriya chisel i teoriya funktsii. 26, Zap. nauchn. sem. POMI, 392, POMI, SPb., 2011, 67–73  mathnet (cited: 2); V. N. Dubinin, “On the preservation of conformal capacity under meromorphic functions”, J. Math. Sci. (N. Y.), 184:6 (2012), 699–702  crossref  zmath  scopus (cited: 2)

   2010
29. V. N. Dubinin, D. A. Kirillova, “Some applications of extremal decompositions in the geometric function theory”, FEMJ, 10:2 (2010), 130–152  mathnet  elib
30. 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: 2)  elib (cited: 1)  elib (cited: 1)  scopus
31. 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: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
32. 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: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
33. 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  isi  elib  elib  scopus
34. V. N. Dubinin, “O komponentakh lemniskaty, ne soderzhaschikh kriticheskikh tochek polinoma, otlichnykh ot ego nulei”, Analiticheskaya teoriya chisel i teoriya funktsii. 25, Zap. nauchn. sem. POMI, 383, POMI, SPb., 2010, 77–85  mathnet (cited: 1); 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  crossref  scopus (cited: 1)
35. V. N. Dubinin, “Geometricheskie versii lemmy Shvartsa i simmetrizatsiya”, Analiticheskaya teoriya chisel i teoriya funktsii. 25, Zap. nauchn. sem. POMI, 383, POMI, SPb., 2010, 63–76  mathnet (cited: 3); V. N. Dubinin, “Geometric versions of Schwarz lemma and symmetrization”, J. Math. Sci. (N. Y.), 178:2 (2011), 150–157  crossref  scopus (cited: 5)

   2009
36. V. N. Dubinin, “Condenser capacity and symmetrization in the extremal decomposition problems”, FEMJ, 9:1-2 (2009), 84–93  mathnet  elib
37. 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)
38. V. N. Dubinin, “K rezultatam I. P. Mityuka o povedenii vnutrennego radiusa oblasti i emkosti kondensatora pri regulyarnykh otobrazheniyakh”, Analiticheskaya teoriya chisel i teoriya funktsii. 24, Zap. nauchn. sem. POMI, 371, POMI, SPb., 2009, 37–55  mathnet (cited: 1); 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  crossref  elib  scopus
39. 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
40. 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  elib
41. V. N. Dubinin, “Majorization Principles for Meromorphic Functions”, Math. Notes, 84:6 (2008), 751–755  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
42. 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  elib
43. 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  elib
44. V. N. Dubinin, D. A. Kirillova, “K zadacham ob ekstremalnom razbienii”, Analiticheskaya teoriya chisel i teoriya funktsii. 23, Zap. nauchn. sem. POMI, 357, POMI, SPb., 2008, 54–74  mathnet (cited: 7)  zmath; V. N. Dubinin, D. A. Kirillova, “On extremal decomposition problems”, J. Math. Sci. (N. Y.), 157:4 (2009), 573–583  crossref  zmath

   2007
45. 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  elib
46. 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: 3)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 2)
47. V. N. Dubinin, V. Yu. Kim, “Teoremy iskazheniya dlya regulyarnykh i ogranichennykh v kruge funktsii”, Analiticheskaya teoriya chisel i teoriya funktsii. 22, Zap. nauchn. sem. POMI, 350, POMI, SPb., 2007, 26–39  mathnet (cited: 6)  elib (cited: 1); 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  crossref  elib (cited: 1)  scopus (cited: 1)

   2006
48. V. N. Dubinin, E. G. Prilepkina, “O variatsionnykh printsipakh konformnykh otobrazhenii”, Algebra i analiz, 18:3 (2006), 39–62  mathnet (cited: 6)  mathscinet (cited: 3)  zmath  elib (cited: 3); V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, St. Petersburg Math. J., 18:3 (2007), 373–389  crossref  mathscinet  zmath
49. 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)
50. V. N. Dubinin, “Inequalities for critical values of polynomials”, Sb. Math., 197:8 (2006), 1167–1176  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 6)
51. V. N. Dubinin, “O primenenii lemmy Shvartsa k neravenstvam dlya tselykh funktsii s ogranicheniyami na nuli”, Analiticheskaya teoriya chisel i teoriya funktsii. 21, Zap. nauchn. sem. POMI, 337, POMI, SPb., 2006, 101–112  mathnet (cited: 7)  mathscinet (cited: 2)  zmath  elib (cited: 4); 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  crossref  mathscinet  zmath  elib (cited: 3)  scopus (cited: 3)
52. V. N. Dubinin, “Emkosti kondensatorov, obobscheniya lemm Grëtsha i simmetrizatsiya”, Analiticheskaya teoriya chisel i teoriya funktsii. 21, Zap. nauchn. sem. POMI, 337, POMI, SPb., 2006, 73–100  mathnet (cited: 9)  mathscinet (cited: 4)  zmath  elib (cited: 4); V. N. Dubinin, “Capacities of condensers, generalizations of Grötzsch Lemmas, and symmetrization”, J. Math. Sci. (N. Y.), 143:3 (2007), 3053–3068  crossref  mathscinet  zmath  elib  scopus

   2005
53. 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
54. 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)
55. 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: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)

   2004
56. V. N. Dubinin, S. I. Kalmykov, “Extremal properties of Chebyshev polynomials”, FEMJ, 5:2 (2004), 169–177  mathnet
57. V. N. Dubinin, N. V. Eirikh, “Nekotorye primeneniya obobschennykh kondensatorov v teorii analiticheskikh funktsii”, Analiticheskaya teoriya chisel i teoriya funktsii. 20, Zap. nauchn. sem. POMI, 314, POMI, SPb., 2004, 52–75  mathnet (cited: 12)  mathscinet (cited: 9)  zmath  elib (cited: 15); 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  crossref  mathscinet  zmath  elib (cited: 5)

   2003
58. V. N. Dubinin, “Obobschennye kondensatory i asimptotika ikh ëmkostei pri vyrozhdenii nekotorykh plastin”, Analiticheskaya teoriya chisel i teoriya funktsii. 19, Zap. nauchn. sem. POMI, 302, POMI, SPb., 2003, 38–51  mathnet (cited: 22)  mathscinet (cited: 18)  zmath; 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  crossref  mathscinet  zmath
59. V. N. Dubinin, “Konformnye otobrazheniya i neravenstva dlya algebraicheskikh polinomov. II”, Analiticheskaya teoriya chisel i teoriya funktsii. 19, Zap. nauchn. sem. POMI, 302, POMI, SPb., 2003, 18–37  mathnet (cited: 5)  mathscinet (cited: 2)  zmath; V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials. II”, J. Math. Sci. (N. Y.), 129:3 (2005), 3823–3834  crossref  mathscinet  zmath

   2002
60. V. N. Dubinin, N. V. Eyrikh, “The generalized reduced modulus”, FEMJ, 3:2 (2002), 150–164  mathnet  elib
61. 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
62. 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)
63. V. N. Dubinin, A. V. Olesov, “O primenenii konformnykh otobrazhenii k neravenstam dlya polinomov”, Analiticheskaya teoriya chisel i teoriya funktsii. 18, Zap. nauchn. sem. POMI, 286, POMI, SPb., 2002, 85–102  mathnet (cited: 6)  mathscinet (cited: 2)  zmath; 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  crossref  mathscinet  zmath
64. V. N. Dubinin, “K neravenstvu Shvartsa na granitse dlya regulyarnykh v kruge funktsii”, Analiticheskaya teoriya chisel i teoriya funktsii. 18, Zap. nauchn. sem. POMI, 286, POMI, SPb., 2002, 74–84  mathnet (cited: 11)  mathscinet (cited: 10)  zmath; 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  crossref  mathscinet  zmath

   2001
65. V. N. Dubinin, “Konformnye otobrazheniya i neravenstva dlya algebraicheskikh polinomov”, Algebra i analiz, 13:5 (2001), 16–43  mathnet (cited: 26)  mathscinet (cited: 21)  zmath; V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials”, St. Petersburg Math. J., 13:5 (2002), 717–737  mathscinet  zmath
66. 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
67. V. N. Dubinin, E. V. Kostyuchenko, “Ekstremalnye zadachi teorii funktsii, svyazannye s $n$-kratnoi simmetriei”, Analiticheskaya teoriya chisel i teoriya funktsii. 17, Zap. nauchn. sem. POMI, 276, POMI, SPb., 2001, 83–111  mathnet (cited: 5)  mathscinet (cited: 3)  zmath; 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  crossref  mathscinet  zmath

   2000
68. 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)
69. V. N. Dubinin, V. Yu. Kim, “Privedennye moduli i neravenstva dlya polinomov”, Analiticheskaya teoriya chisel i teoriya funktsii. 16, Zap. nauchn. sem. POMI, 263, POMI, SPb., 2000, 70–83  mathnet (cited: 6)  mathscinet (cited: 3)  zmath; V. N. Dubinin, V. Yu. Kim, “Reduced moduli and inequalities for the polynomials”, J. Math. Sci. (New York), 110:6 (2002), 3070–3077  crossref  mathscinet  zmath

   1999
70. 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
71. 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)
72. 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)

   1998
73. V. N. Dubinin, E. G. Prilepkina, “Ob ekstremalnom razbienii prostranstvennykh oblastei”, Analiticheskaya teoriya chisel i teoriya funktsii. 15, Zap. nauchn. sem. POMI, 254, POMI, SPb., 1998, 95–107  mathnet (cited: 3)  mathscinet  zmath; V. N. Dubinin, E. G. Prilepkina, “On extremal decomposition of $n$-space domains”, J. Math. Sci. (New York), 105:4 (2001), 2180–2189  crossref  mathscinet  zmath
74. V. N. Dubinin, L. V. Kovalev, “Privedennyi modul kompleksnoi sfery”, Analiticheskaya teoriya chisel i teoriya funktsii. 15, Zap. nauchn. sem. POMI, 254, POMI, SPb., 1998, 76–94  mathnet (cited: 22)  mathscinet (cited: 11)  zmath; V. N. Dubinin, L. V. Kovalev, “The reduced modulus of the complex sphere”, J. Math. Sci. (New York), 105:4 (2001), 2165–2179  crossref  mathscinet  zmath

   1997
75. V. N. Dubinin, “Asimptotika modulya vyrozhdayuschegosya kondensatora i nekotorye ee primeneniya”, Analiticheskaya teoriya chisel i teoriya funktsii. 14, Zap. nauchn. sem. POMI, 237, POMI, SPb., 1997, 56–73  mathnet (cited: 24)  mathscinet (cited: 19)  zmath; 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  crossref  mathscinet  zmath

   1996
76. V. N. Dubinin, “Simmetrizatsiya, funktsiya Grina i konformnye otobrazheniya”, Analiticheskaya teoriya chisel i teoriya funktsii. 13, Zap. nauchn. sem. POMI, 226, POMI, SPb., 1996, 80–92  mathnet (cited: 4)  mathscinet (cited: 1)  zmath; V. N. Dubinin, “Symmetrization, Green's function, and conformal mappings”, J. Math. Sci. (New York), 89:1 (1998), 967–975  crossref  mathscinet  zmath
77. 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
78. 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: 67)
79. V. N. Dubinin, “Some properties of the reduced inner modulus”, Siberian Math. J., 35:4 (1994), 689–705  mathnet  crossref  mathscinet  zmath  isi (cited: 6)

   1991
80. V. N. Dubinin, “Preobrazovaniya kondensatorov v $n$-mernom prostranstve”, Modulyarnye funktsii i kvadratichnye formy. 2, Zap. nauchn. sem. LOMI, 196, Nauka, SPb., 1991, 41–60  mathnet (cited: 2)  mathscinet (cited: 2)  zmath; V. N. Dubinin, “Transformations of condensers in $n$-space”, J. Math. Sci., 70:6 (1994), 2085–2096  crossref  mathscinet  zmath

   1988
81. 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)
82. V. N. Dubinin, “The separating transformation of domains and problems on the extremal partition”, Analytical theory of numbers and theory of functions. Part 9, Zap. Nauchn. Sem. LOMI, 168, “Nauka”, Leningrad. Otdel., Leningrad, 1988, 48–66  mathnet  zmath

   1987
83. 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

   1986
84. 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
85. V. N. Dubinin, “On covering theorems in the theory of analytic functions”, Analytical theory of numbers and theory of functions. Part 7, Zap. Nauchn. Sem. LOMI, 154, “Nauka”, Leningrad. Otdel., Leningrad, 1986, 67–75  mathnet  zmath

   1985
86. V. N. Dubinin, “Transformation of functions and Dirichlet's principle”, Math. Notes, 38:1 (1985), 539–542  mathnet  crossref  mathscinet  zmath  isi (cited: 5)
87. V. N. Dubinin, “Metod simmetrizatsii v zadachakh o nenalegayuschikh oblastyakh”, Matem. sb., 128(170):1(9) (1985), 110–123  mathnet (cited: 6)  mathscinet (cited: 4)  zmath; V. N. Dubinin, “The symmetrization method in problems on nonoverlapping domains”, Math. USSR-Sb., 56:1 (1987), 107–119  crossref  mathscinet  zmath

   1984
88. V. N. Dubinin, “Ob izmenenii garmonicheskoi mery pri simmetrizatsii”, Matem. sb., 124(166):2(6) (1984), 272–279  mathnet (cited: 12)  mathscinet (cited: 10)  zmath; V. N. Dubinin, “On the change in harmonic measure under symmetrization”, Math. USSR-Sb., 52:1 (1985), 267–273  crossref  mathscinet  zmath

   1980
89. 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)

  
90. V. N. Dubinin, “Geometric estimates of the Schwarzian derivative”, Uspekhi Mat. Nauk (to appear)  mathnet

Presentations in Math-Net.Ru
1. On an extremal problem for the derivative of a rational function
Seminar on Complex Analysis (Gonchar Seminar)
October 24, 2016 17:00
2. Symmetrization of condensers and geometrical properties of multivalent functions
One-day conference dedicated to the memory of academician A. A Gonchar
December 23, 2015 11:00   
3. Inequalities for harmonic measures with respect to the nonoverlapping domains
Seminar on Complex Analysis (Gonchar Seminar)
May 25, 2015 18:00
4. A Markov-type inequality and a lower bound for the moduli of critical values of polynomials
Seminar on Complex Analysis (Gonchar Seminar)
May 27, 2013 18:00
5. The problem of extremal decomposition for harmonic measure
Seminar on Complex Analysis (Gonchar Seminar)
December 19, 2011 18:00
6. A new version of the circular symmetrization with applications to $p$-valent functions
Seminar on Complex Analysis (Gonchar Seminar)
May 16, 2011 18:00
7. On the boundary Schwarzian derivative of regular function
Seminar on Complex Analysis (Gonchar Seminar)
May 17, 2010 18:00

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017