Persons: Dubinin, Vladimir Nikolaevich

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Dubinin, Vladimir Nikolaevich

Statistics
in MathSciNet:	129 (124)
in zbMATH:	124 (120)
in Web of Science:	79 (74)
in Scopus:	99 (99)

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:

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

https://www.mathnet.ru/eng/person8736

https://scholar.google.com/citations?user=bEHYPGAAAAAJ&hl=en

https://zbmath.org/authors/ai:dubinin.vladimir-n

https://mathscinet.ams.org/mathscinet/MRAuthorID/204749

https://elibrary.ru/author_items.asp?authorid=2202

https://orcid.org/0000-0002-4403-155X

https://www.webofscience.com/wos/author/record/F-3307-2014

https://www.scopus.com/authid/detail.url?authorId=9742277200

Full list of publications:

Download file (67 kB)

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	V. N. Dubinin, “Symmetrization in the geometric theory of functions of a complex variable”, Russian Math. Surveys, 49:1 (1994), 1–79
2.	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
3.	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
4.	V. N. Dubinin, “Methods of geometric function theory in classical and modern problems for polynomials”, Russian Math. Surveys, 67:4 (2012), 599–684
5.	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
6.	V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials”, St. Petersburg Math. J., 13:5 (2002), 717–737
7.	V. N. Dubinin, “A separating transformation of domains, and problems on extremal decomposition”, J. Soviet Math., 53:3 (1991), 252–263
8.	V. N. Dubinin, L. V. Kovalev, “The reduced modulus of the complex sphere”, J. Math. Sci. (New York), 105:4 (2001), 2165–2179
9.	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
10.	V. N. Dubinin, “Distortion theorems for polynomials on a circle”, Sb. Math., 191:12 (2000), 1797–1807
11.	V. N. Dubinin, “On an application of conformal maps to inequalities for rational functions”, Izv. Math., 66:2 (2002), 285–297
12.	V. N. Dubinin, S. I. Kalmykov, “A majoration principle for meromorphic functions”, Sb. Math., 198:12 (2007), 1737–1745
13.	V. N. Dubinin, “On the change in harmonic measure under symmetrization”, Math. USSR-Sb., 52:1 (1985), 267–273
14.	V. N. Dubinin, “Inequalities for critical values of polynomials”, Sb. Math., 197:8 (2006), 1167–1176
15.	V. N. Dubinin, “Some properties of the reduced inner modulus”, Siberian Math. J., 35:4 (1994), 689–705
16.	V. N. Dubinin, “Circular symmetrization of condensers on Riemann surfaces”, Sb. Math., 206:1 (2015), 61–86
17.	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
18.	V. N. Dubinin, “Bounded holomorphic functions covering no concentric circles”, J. Math. Sci. (N. Y.), 207:6 (2015), 825–831
19.	V. N. Dubinin, “A new version of circular symmetrization with applications to $p$-valent functions”, Sb. Math., 203:7 (2012), 996–1011
20.	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
21.	V. N. Dubinin, “Capacities of condensers, generalizations of Grötzsch Lemmas, and symmetrization”, J. Math. Sci. (N. Y.), 143:3 (2007), 3053–3068
22.	V. N. Dubinin, “Capacities and geometric transformations of subsets in n-space”, Geometric and Functional Analysis, 3:4 (1993), 342-369	13 ^[x]
23.	V. N. Dubinin, “Quadratic forms involving Green's and Robin functions”, Sb. Math., 200:10 (2009), 1439–1452
24.	V. N. Dubinin, “Boundary values of the Schwarzian derivative of a regular function”, Sb. Math., 202:5 (2011), 649–663
25.	V. N. Dubinin, M. Vuorinen, “Robin functions and distortion theorems for regular mappings”, Math. Nachr., 283:11 (2010), 1589–1602	11 ^[x]
26.	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
27.	V. N. Dubinin, “Symmetrization, Green's function, and conformal mappings”, J. Math. Sci. (New York), 89:1 (1998), 967–975
28.	V. N. Dubinin, T. Sugawa, “Dual mean value problem for complex polynomials”, Proc. Japan. Acad. Ser.A, Math.Sci., 85:9 (2009), 135 – 137	10 ^[x]
29.	V. N. Dubinin, “Geometric estimates for the Schwarzian derivative”, Russian Math. Surveys, 72:3 (2017), 479–511
30.	V. N. Dubinin, “Geometric versions of Schwarz lemma and symmetrization”, J. Math. Sci. (N. Y.), 178:2 (2011), 150–157
31.	V. N. Dubinin, M. Vuorinen, “On conformal moduli of polygonal quadrilaters”, Israel J.Math., 171 (2009), 111 – 125	9 ^[x]
32.	V. N. Dubinin, “Majorization Principles for Meromorphic Functions”, Math. Notes, 84:6 (2008), 751–755
33.	V. N. Dubinin, N. V. Eyrikh, “The generalized reduced modulus”, FEMJ, 3:2 (2002), 150–164
34.	V. N. Dubinin, D. A. Kirillova, “On extremal decomposition problems”, J. Math. Sci. (N. Y.), 157:4 (2009), 573–583
35.	V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, St. Petersburg Math. J., 18:3 (2007), 373–389
36.	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
37.	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
38.	V. N. Dubinin, E. G. Prilepkina, “On extremal decomposition of $n$-space domains”, J. Math. Sci. (New York), 105:4 (2001), 2180–2189
39.	V. N. Dubinin, “Reduced moduli of open sets in the theory of analytic functions”, Dokl. Math., 58:3 (1998), 458-461
40.	V. N. Dubinin, “Transformation of functions and Dirichlet's principle”, Math. Notes, 38:1 (1985), 539–542
41.	V. N. Dubinin, “An Extremal Problem for the Derivative of a Rational Function”, Math. Notes, 100:5 (2016), 714–719
42.	V. N. Dubinin, “On one extremal problem for complex polynomials with constraints on critical values”, Siberian Math. J., 55:1 (2014), 63–71
43.	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	7 ^[x]
44.	V. N. Dubinin, V. Yu. Kim, “Reduced moduli and inequalities for the polynomials”, J. Math. Sci. (New York), 110:6 (2002), 3070–3077
45.	V. N. Dubinin, “The majorization principle for $p$-valent functions”, Math. Notes, 65:4 (1999), 447–453
46.	V. N. Dubinin, “The logarithmic energy of zeros and poles of a rational function”, Siberian Math. J., 57:6 (2016), 981–986
47.	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	6 ^[x]
48.	V. N. Dubinin, “The symmetrization method in problems on nonoverlapping domains”, Math. USSR-Sb., 56:1 (1987), 107–119
49.	V. N. Dubinin, “Asymptotics for the Capacity of a Condenser with Variable Potential Levels”, Siberian Mathematical Journal, 61:4 (2020), 626–631
50.	V. N. Dubinin, “Green energy and extremal decompositions”, Probl. anal. Issues Anal., 8(26):3 (2019), 38–44 ;	5 ^[x]
51.	V. N. Dubinin, “Schwarzian Derivative and Covering Arcs of a Pencil of Circles by Holomorphic Functions”, Math. Notes, 98:6 (2015), 920–925
52.	V. N. Dubinin, “Four-point distortion theorem for complex polynomials”, Complex Variables and Elliptic Equations, 59:1 (2014), 59–66	5 ^[x]
53.	V. N. Dubinin, “Symmetrization of Condensers and Inequalities for Functions Multivalent in a Disk”, Math. Notes, 94:6 (2013), 876–884
54.	V. N. Dubinin, “Lower Bound for the Discrete Norm of a Polynomial on the Circle”, Math. Notes, 90:2 (2011), 284–287
55.	V. N. Dubinin, “Lemniscates and Inequalities for the Logarithmic Capacities of Continua”, Math. Notes, 80:1 (2006), 31–35
56.	V. N. Dubinin, “Conformal mappings and inequalities for algebraic polynomials. II”, J. Math. Sci. (N. Y.), 129:3 (2005), 3823–3834
57.	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
58.	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
59.	V. N. Dubinin, “Green energy of discrete signed measure on concentric circles”, Izv. Math., 87:2 (2023), 265–283
60.	V. N. Dubinin, “Sharp Inequalities for Rational Functions on a Circle”, Math. Notes, 110:1 (2021), 41–47
61.	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	4 ^[x]
62.	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
63.	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
64.	V. N. Dubinin, “The Grötzsch and Teichmüller Extremal Problems on a Riemann Surface”, Math. Notes, 93:1 (2013), 50–57
65.	V. N. Dubinin, “Steiner symmetrization and the initial coefficients of univalent functions”, Izv. Math., 74:4 (2010), 735–742
66.	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	4 ^[x]
67.	V. N. Dubinin, “Polynomials with Critical Values on Intervals”, Math. Notes, 78:6 (2005), 768–772
68.	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
69.	V. N. Dubinin, “Coverings of vertical segments under a conformal mapping”, Math. Notes, 28:1 (1980), 476–480
70.	V. N. Dubinin, “An upper bound for the least critical values of finite Blaschke products”, Sb. Math., 213:6 (2022), 744–751
71.	V.N.Dubinin, “Distortion and Critical Values of the Finite Blaschke Product”, Constructive Approximation, 2020 (published online 18 September 2020)	3 ^[x]
72.	V. N. Dubinin, “On the Dual Mean-Value Conjecture for Complex Polynomials”, Math. Notes, 106:1 (2019), 133–135
73.	V. N. Dubinin, “Inequalities for harmonic measures with respect to non-overlapping domains”, Izv. Math., 79:5 (2015), 902–918
74.	V. N. Dubinin, “Two-point boundary distortion estimate for Schwarzian derivative of holomorphic function”, FEMJ, 14:2 (2014), 191–199
75.	V. N. Dubinin, “On the reduced modulus of the complex sphere”, Siberian Math. J., 55:5 (2014), 882–892
76.	V. N. Dubinin, “Inequalities for moduli of the circumferentially mean $p$-valent functions”, J. Math. Sci. (N. Y.), 207:6 (2015), 832–838
77.	V. N. Dubinin, V. Yu. Kim, “Generalized condensers and boundary distortion theorems for conformal mappings”, FEMJ, 13:2 (2013), 196–208
78.	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
79.	V. N. Dubinin, “Some inequalities for polynomials and rational functions associated with a lemniscate”, J. Math. Sci. (N. Y.), 193:1 (2013), 45–54
80.	V. N. Dubinin, S. I. Kalmukov, “On polynomials with constraints on circular arcs”, J. Math. Sci. (N. Y.), 184:6 (2012), 703–708
81.	V. N. Dubinin, “On the preservation of conformal capacity under meromorphic functions”, J. Math. Sci. (N. Y.), 184:6 (2012), 699–702
82.	V. N. Dubinin, D. B. Karp, “Two-sided bounds for the logarithmic capacity of multiple intervals”, J. Anal. Math., 113 (2011), 227–239	3 ^[x]
83.	V. N. Dubinin, D. A. Kirillova, “Some applications of extremal decompositions in the geometric function theory”, FEMJ, 10:2 (2010), 130–152
84.	V. N. Dubinin, “Lower bounds for the half-plane capacity of compact sets and symmetrization”, Sb. Math., 201:11 (2010), 1635–1646
85.	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
86.	V. N. Dubinin, S. I. Kalmykov, “Extremal properties of Chebyshev polynomials”, FEMJ, 5:2 (2004), 169–177
87.	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
88.	V. N. Dubinin, “Transformations of condensers in $n$-space”, J. Math. Sci., 70:6 (1994), 2085–2096
89.	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
90.	V. N. Dubinin, “Transformation of condensers in space”, Soviet Math. Dokl., 36:2 (1988), 217-219
91.	V. N. Dubinin, V. Yu. Kim, “On the condensers with variable plates, potential levels and domain of definition”, Dal'nevost. Mat. Zh., 22:1 (2022), 55–60
92.	V. N. Dubinin, “The Kraus Inequality for Multivalent Functions”, Math. Notes, 102:4 (2017), 516–520
93.	V. N. Dubinin, “Distortion theorems for circumferentially mean $p$-valent functions”, J. Math. Sci. (N. Y.), 217:1 (2016), 28–36
94.	V. N. Dubinin, M. Vuorinen, “An extremal decomposition problem for harmonic measure”, Proceedings of the Amer.Math.Soc., 140:7 (2012), 2441–2446	2 ^[x]
95.	V. N. Dubinin, “On the distortion theorems for algebraic polynomials”, FEMJ, 11:1 (2011), 28–36
96.	V. N. Dubinin, “On the Finite-Increment Theorem for Complex Polynomials”, Math. Notes, 88:5 (2010), 647–654
97.	V. N. Dubinin, E. G. Prilepkina, “Distortion theorems for univalent meromorphic functions on an annulus”, Siberian Math. J., 51:2 (2010), 229–243
98.	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
99.	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
100.	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
101.	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
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
103.	V. N. Dubinin, “Distortion theorem in the theory of conformal mappings”, Math. Notes, 44:3 (1988), 668–674
104.	V. N. Dubinin, “On covering theorems in the theory of analytic functions”, J. Soviet Math., 43:4 (1988), 2553–2558
105.	V. N. Dubinin, “Blaschke products and Smale's conjecture on complex polynomials”, Math. Notes, 116:2 (2024), 252–257
106.	V. N. Dubinin, “Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus”, Math. Notes, 113:6 (2023), 776–783
107.	V. N. Dubinin, “On Holomorphic Coverings of Planar Domains”, Math. Notes, 112:5 (2022), 674–684
108.	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)	1 ^[x]
109.	V. N. Dubinin, “The Schwarzian Derivative of a $p$-Valent Function”, Math. Notes, 107:6 (2020), 923–928
110.	V.N.Dubinin, “Pólya–Schur Inequality and the Green Energy of a Discrete Charge”, Doklady Mathematics, 101:3 (2020), 192–194
111.	V. N. Dubinin, “Lemniscate Zone and Distortion Theorems for Multivalent Functions. II”, Math. Notes, 104:5 (2018), 683–688
112.	V. N. Dubinin, “Distortion theorem for complex polynomials”, Sib. elektron. matem. izv., 15 (2018), 1410–1415	1 ^[x]
113.	V. N. Dubinin, A. S. Afanaseva-Grigoreva, “On the lemniscates of rational functions”, Dal'nevost. Mat. Zh., 17:2 (2017), 201–209
114.	V. N. Dubinin, “Lemniscate Zone and Distortion Theorems for Multivalent Functions”, Journal of Mathematical Sciences (United States), 234:5 (2018), 598–607
115.	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
116.	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	1 ^[x]
117.	V. N. Dubinin, “On a Class of Univalent Functions”, FEMJ, 12:2 (2012), 184–194
118.	V. N. Dubinin, “On the covering of radial segments under conformal mapping of a disk”, Siberian Math. J., 31:2 (1990), 230–242
119.	V. N. Dubinin, “Teichmüller’s Modulsatz and the Variation of the Dirichlet Integral”, Siberian Mathematical Journal, 65:2 (2024), 289–294
120.	V. N. Dubinin, “On the dissymmetrization theorem”, Siberian Electronic Mathematical Reports, 20:1 (2023), 477–485
121.	V.N.Dubinin, “Some remarks on rotation theorems for complex polynomials”, Siberian Electronic Mathematical Reports, 18:1 (2021), 369–376
122.	V. N. Dubinin, “Critical Values of Finite Blaschke Products”, Doklady Mathematics, 104:1 (2021), 163–164
123.	V. N. Dubinin, “Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions”, J. Math. Anal. Appl., 467:1 (2018), 371-378
124.	V. N. Dubinin, Condenser capacities and symmetrization in geometric function theory, Basel: Birkhauser / Springer, 2014 , xii+344 pp.
125.	V. N. Dubinin, “Condenser capacity and symmetrization in the extremal decomposition problems”, FEMJ, 9:1-2 (2009), 84–93
126.	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
127.	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
128.	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
129.	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
130.	V. N. Dubinin, “Symmetrization methods in the geometric function theory”, Trudy po geometrii i analizu, Iz-vo Mat. Inst., Novosibirsk, 2003, 126–150
131.	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
132.	V. N. Dubinin, The symmetrization method in geometric function theory, D. Sc. dissertation, Vladivostok, 1988
133.	V. N. Dubinin, “An extremal problem for functions that are meromorphic in multiply connected domains”, Soviet Math. (Iz. VUZ), 30:10 (1986), 72–77
134.	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
135.	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
136.	V. N. Dubinin, Some symmetrization transformations and covering theorems in the geometric theory of functions of a complex variable, Candidate’s dissertation, Krasnodar, 1977
137.	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
138.	V. N. Dubinin, “On Hayman’s conjecture”, Mathematical analysis, No. 3. Kuban Gos. Univ. Nauchn. Trudy, 217, 1976, 26-34
139.	V. N. Dubinin, “A certain symmetrization method”, Mathematical analysis, No. 2. Kuban. Gos. Univ. Naučn. Trudy, 180, Kuban. Gos. Univ., 1974, 50-64
140.	V. N. Dubinin, “Inequalities for polynomials with real critical values”, Izv. RAN. Ser. Mat. (to appear)
141.	V. N. Dubinin, “On lemniscates and critical points of finite Blaschke products”, Math. Notes, 118:3 (2025), 550–555
142.	V. N. Dubinin, “Variational formulae for conformal capacity”, Sb. Math., 215:1 (2024), 90–100
143.	V. N. Dubinin, “Bounded holomorphic functions in a circular annulus”, Algebra i Analiz, 36:6 (2024), 30–46
144.	V. N. Dubinin, “Inequalities for derivatives of rational functions with critical values on an interval”, Dal'nevost. Mat. Zh., 24:2 (2024), 187–192
145.	V. N. Dubinin, “An asymptotic formula for the capacity of a condenser when all its plates are degenerate”, Dal'nevost. Mat. Zh., 23:2 (2023), 184–189
146.	V. N. Dubinin, “Circular symmetrization and Green function”, Dal'nevost. Mat. Zh., 19:1 (2019), 24–30
147.	V. N. Dubinin, “On holomorphic self-mappings of the unit disk”, Sib. elektron. matem. izv., 16 (2019), 1633–1639
148.	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
149.	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
150.	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
151.	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
152.	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
153.	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

Presentations in Math-Net.Ru

1.	Ограниченные голоморфные функции в круговом кольце V. N. Dubinin XVII International Kazan school-conference "Function Theory, Its Applications and Related Topics" August 27, 2025
2.	Holomorphic functions in a circular annulus V. N. Dubinin Seminar on Complex Analysis (Gonchar Seminar) May 26, 2025 17:00
3.	Variational formulas for conformal capacity V. N. Dubinin Seminar on Complex Analysis (Gonchar Seminar) December 9, 2024 17:00
4.	Schwarzian at the boundary, half-plane capacity and symmetrization V. N. Dubinin Virtual Workshop “Complex Analysis and Geometry” November 19, 2021 10:00
5.	Gonchar's problems, symmetrization of condensers and new applications of dissymmetrization V. N. Dubinin International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 14, 2021 15:00
6.	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
7.	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
8.	On the Dual Mean-Value Conjecture for Complex Polynomials V. N. Dubinin Seminar on Complex Analysis (Gonchar Seminar) November 18, 2019 17:00
9.	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
10.	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
11.	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
12.	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
13.	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
14.	Inequalities for harmonic measures with respect to the nonoverlapping domains V. N. Dubinin Seminar on Complex Analysis (Gonchar Seminar) May 25, 2015 18:00
15.	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
16.	The problem of extremal decomposition for harmonic measure V. N. Dubinin Seminar on Complex Analysis (Gonchar Seminar) December 19, 2011 18:00
17.	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
18.	On the boundary Schwarzian derivative of regular function V. N. Dubinin Seminar on Complex Analysis (Gonchar Seminar) May 17, 2010 18:00

Organisations