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Doubtsov, Evgueni
Total publications:
75 (75)
in MathSciNet:
73 (73)
in zbMATH:
71 (71)
in Web of Science:
51 (51)
in Scopus:
68 (68)
Cited articles:
53
Citations:
184
Presentations:
32
Number of views:
This page: 6975 Abstract pages: 4372 Full texts: 1266 References: 607
Professor of Russian Academy of Sciences
Doctor of physico-mathematical sciences (2004)
Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
email
Keywords:
growth spaces,
Aleksandrov-Clark measures,
pluriharmonic measures,
singular integrals,
BMO and RBMO,
tropical power series,
proper holomorphic mappings,
Uncertainty Principle,
Bloch space,
composition operators on the unit ball,
Fractional Cauchy transforms in the ball,
Ryll–Wojtaszczyk polynomials and their generalizations,
Riesz type products on the sphere,
Zygmund measures and symmetric measures.
UDC:
517.53 , 517.55 , 517.57 , 517.982.274 , 517.983.3 , 517.986.6 , 517.987.1 , 517.98 , 517.547
MSC:
30D40 , 30H05 , 30H10 , 30H15 , 30H25 , 30H30 , 30H50 , 31A05 , 31A20 , 31B25 , 31C10 , 32A17 , 32A18 , 32A26 , 32A35 , 32A36 , 32A37 , 32A38 , 32A40 , 32A50 , 32A70 , 42A55 , 42B05 , 42B35 , 43A25 , 43A30 , 43A85 , 46A16 , 46E15 , 46E35 , 46J15 , 47B33 , 47B38
Subject:
Spaces of holomorphic and harmonic functions (one and several variables); harmonic analysis on the complex sphere; smooth measures on a sphere and on a Euclidean space.
Main publications:
Doubtsov, E., “Henkin measures, Riesz products and singular sets”, Ann. Inst. Fourier (Grenoble) , 48 :3 (1998), 699–728
Doubtsov, E., “Little Bloch functions, symmetric pluriharmonic measures, and Zygmunds dichotomy”, J. Funct. Anal. , 170 :2 (2000), 286–306
Doubtsov, E., “Differentiation properties of symmetric measures”, Potential Anal. , 27 :4 (2007), 389–401
Doubtsov, E., “Multipliers of fractional Cauchy transforms”, Integral Equations and Operator Theory , 64 :2 (2009), 177–192
Doubtsov, E., “Carleson-Sobolev measures for weighted Bloch spaces”, J. Funct. Anal. , 258 :8 (2010), 2801–2816
https://www.mathnet.ru/eng/person17830
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:doubtsov.evgueni
https://mathscinet.ams.org/mathscinet/MRAuthorID/361869
https://elibrary.ru/author_items.asp?spin=1259-1070
https://orcid.org/0000-0001-6648-4026
https://www.webofscience.com/wos/author/record/E-7826-2016
https://www.scopus.com/authid/detail.url?authorId=6602428635
https://www.researchgate.net/profile/Evgueni_Doubtsov
https://arxiv.org/a/0000-0001-6648-4026
Full list of publications:
Citations (Crossref Cited-By Service + Math-Net.Ru )
2024
1.
A. B. Aleksandrov, E. Doubtsov, “Dominant Sets for Model Spaces in Several Variables”, Math. Notes , 115 :2 (2024), 135–141
2.
E. Doubtsov, “Reverse Carleson measures on the closed polydisk”, Journal of Analysis , 2024, 1–11 (Published online)
3.
E. Doubtsov, “Mutual singularity of Riesz products on the unit sphere”, Proceedings of the American Mathematical Society , 2024, 1–9 (to appear)
4.
E. Doubtsov, “Compact composition operators on model spaces”, Canad. Math. Bull. , 2024, 1–7 (to appear)
2023
5.
A. B. Aleksandrov, E. Doubtsov, “Clark measures and de Branges-Rovnyak spaces in several variables”, Complex Var. Elliptic Equ. , 68 :2 (2023), 212–221
3
[x]
6.
E. Doubtsov, A. V. Vasin, “Calderón-Zygmund operators on RBMO”, Proceedings of the American Mathematical Society , 151 :2 (2023), 595–610
7.
A. V. Vasin, E. Doubtsov, “A $T(P)$ -Theorem for Zygmund Spaces on Domains”, Math. Notes , 114 :1 (2023), 30–45
8.
E. Doubtsov, “Reverse Carleson measures for Hardy spaces in the unit ball”, Investigations on linear operators and function theory. Part 51 , Zap. Nauchn. Sem. POMI, 527 , POMI, St. Petersburg, 2023, 54–70
2021
9.
A. B. Aleksandrov, E. Doubtsov, “Comparison of Clark Measures in Several Complex Variables”, Extended Abstracts Fall 2019 , Trends in Mathematics, 12 , Springer Nature, 2021, 9–16
1
[x]
2020
10.
A. B. Aleksandrov, E. Doubtsov, “Clark measures on the complex sphere”, Journal of Functional Analysis , 278 :2 (2020), 108314 , 30 pp.
9
[x]
11.
E. Doubtsov, “Clark measures on the torus”, Proc. Amer. Math. Soc. , 148 :5 (2020), 2009–2017
4
[x]
2019
12.
E. Doubtsov, “Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order”, Complex Var. Elliptic Equ. , 64 :4 (2019), 563–573
13.
A. B. Aleksandrov, E. Doubtsov, “Pluriharmonic Clark measures and analogs of model spaces”, Comptes Rendus Mathematique , 357 :1 (2019), 7–12
3
[x]
14.
E. Abakumov, E. Doubtsov, “Univalent symbols of Volterra operators on growth spaces”, Analysis and Mathematical Physics , 9 :3 (2019), 911–917
1
[x]
15.
E. Doubtsov, F. Kutzschebauch, “Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings”, Analysis and Mathematical Physics , 9 :3 (2019), 1005–1018
7
[x]
16.
E. Doubtsov, “Integration and differentiation in Hardy growth spaces”, Complex Analysis and Operator Theory , 13 :4 (2019), 1883–1893
1
[x]
2018
17.
E. Abakumov, E. Doubtsov, “Approximation by proper holomorphic maps and tropical power series”, Constr. Approx. , 47 :2 (2018), 321–338
6
[x]
18.
E. Doubtsov, “Integral means of holomorphic functions as generic log-convex weights”, Bull. Aust. Math. Soc. , 97 :1 (2018), 88–93
2
[x]
2019
19.
E. S. Dubtsov, “Extended Cesàro operators between Hardy and Bergman spaces on the complex ball”, J. Math. Sci. (U.S.) , 243 :6 (2019), 867–871
2017
20.
E. Abakumov, E. Doubtsov, “Volterra type operators on growth Fock spaces”, Arch. Math. (Basel) , 108 :4 (2017), 383–393
8
[x]
21.
E. Doubtsov, A. V. Vasin, “Restricted Beurling transforms on Campanato spaces”, Complex Var. Elliptic Equ. , 62 :3 (2017), 333–346
5
[x]
2016
22.
E. Doubtsov, “Hyperbolic Hardy classes and logarithmic Bloch spaces”, Methods of Fourier Analysis and Approximation Theory , Applied and Numerical Harmonic Analysis, eds. M. Ruzhansky, S. Tikhonov, Springer, 2016, 33–42
23.
E. Abakumov, E. Doubtsov, “Growth of proper holomorphic maps and tropical power series”, Comptes Rendus Mathematique , 354 :5 (2016), 465–469
2
[x]
2018
24.
E. S. Dubtsov, “Composition operators between Bloch and BMOA spaces on polydisks”, J. Math. Sci. (N. Y.) , 229 :5 (2018), 518–527
2015
25.
E. Doubtsov, “Integral means of weighted Hardy-Bloch functions”, Arch. Math. (Basel) , 104 :1 (2015), 69–76
26.
E. Abakumov, E. Doubtsov, “Moduli of holomorphic functions and logarithmically convex radial weights”, Bull. London Math. Soc. , 47 :3 (2015), 519–532
14
[x]
27.
E. Doubtsov, “Harmonic approximation by finite sums of moduli”, J. Math. Anal. Appl. , 430 :2 (2015), 685–694
4
[x]
2014
28.
E. Doubtsov, “Weighted Bloch spaces and quadratic integrals”, J. Math. Anal. Appl. , 412 :1 (2014), 269–276
3
[x]
29.
E. Doubtsov, “Radial growth of Bloch functions in the complex ball”, Arch. Math. (Basel) , 102 :4 (2014), 391–399
30.
E. Doubtsov, “Characterisations of Hardy growth spaces with doubling weights”, Bull. Aust. Math. Soc. , 90 :2 (2014), 275–282
1
[x]
2013
31.
E. Doubtsov, A. N. Petrov, “Bloch-to-Hardy composition operators”, Cent. Eur. J. Math. , 11 :6 (2013), 985–1003
1
[x]
2012
32.
E. Doubtsov, “Hyperbolic BMOA classes”, J. Math. Anal. Appl. , 391 :1 (2012), 57–66
1
[x]
33.
E. Abakumov, E. Doubtsov, “Reverse estimates in growth spaces”, Math. Z. , 271 :1-2 (2012), 399–413
17
[x]
34.
E. Doubtsov, “Inner mappings, hyperbolic gradients and composition operators”, Integral Equations Operator Theory , 73 :4 (2012), 537–551
3
[x]
35.
E. Doubtsov, “Bloch-to-BMOA compositions on complex balls”, Proc. Amer. Math. Soc. , 140 :12 (2012), 4217–4225
9
[x]
36.
E. Abakumov, E. Doubtsov, “Null-series on the complex sphere”, J. Approx. Theory , 164 :10 (2012), 1427–1442
37.
E. S. Dubtsov, “Weighted composition operators into Lipschitz spaces”, J. Math. Sci. (N. Y.) , 182 :5 (2012), 630–638
2010
38.
E. Doubtsov, “Families of fractional Fantappiè transforms”, Bull. Aust. Math. Soc. , 82 :1 (2010), 62–78
1
[x]
39.
E. Doubtsov, “Carleson-Sobolev measures for weighted Bloch spaces”, J. Funct. Anal. , 258 :8 (2010), 2801–2816
4
[x]
40.
E. Doubtsov, “Fractional Cauchy transforms, multipliers and Cesàro operators”, Proc. Amer. Math. Soc. , 138 :2 (2010), 663–673
3
[x]
41.
E. S. Dubtsov, “Families of fractional Cauchy transforms in the ball”, St. Petersburg Math. J. , 21 :6 (2010), 957–978
2009
42.
E. S. Dubtsov, “Weighted composition operators on growth spaces”, Siberian Math. J. , 50 :6 (2009), 998–1006
2010
43.
E. S. Dubtsov, “Multipliers for logarithmic Cauchy integrals in the ball”, J. Math. Sci. (N.Y.) , 2010, 166, no. 1, 23–30
44.
E. S. Dubtsov, “Classical operators on Bloch spaces”, J. Math. Sci. (N. Y.) , 165 :4 (2010), 449–454
2009
45.
E. Doubtsov, “Growth spaces on circular domains: composition operators and Carleson measures”, C. R. Math. Acad. Sci. Paris , 347 :11-12 (2009), 609–612
9
[x]
46.
E. Doubtsov, “Multipliers of fractional Cauchy transforms”, Integral Equations Operator Theory , 64 :2 (2009), 177–192
3
[x]
47.
E. Doubtsov, “Characterizations of the hyperbolic Nevanlinna class in the ball”, Complex Var. Elliptic Equ. , 54 :2 (2009), 119–124
3
[x]
48.
E. S. Dubtsov, “Radial limits of positive solutions of the Darboux equation”, J. Math. Sci. (N.Y.) , 156 :5 (2009), 813–818
2008
49.
E. Doubtsov, “Radial limits of inner functions and Bloch spaces”, Proc. Amer. Math. Soc. , 136 :6 (2008), 2177–2182
50.
E. S. Dubtsov, “Derivatives of regular measures”, St. Petersburg Math. J. , 19 :2 (2008), 225–238
51.
E. S. Dubtsov, “Radial behavior of positive harmonic Bloch functions”, J. Math. Sci. (N. Y.) , 148 :6 (2008), 841–845
2007
52.
E. Doubtsov, “Differentiation properties of symmetric measures”, Potential Anal. , 27 :4 (2007), 389–401
1
[x]
53.
E. Doubtsov, “Complemented invariant subspaces and interpolation sequences”, Proc. Amer. Math. Soc. , 135 :2 (2007), 393–395
1
[x]
54.
E. S. Dubtsov, “Characterizations of Hardy–Orlicz and Bergman–Orlicz spaces”, J. Math. Sci. (N. Y.) , 141 :5 (2007), 1531–1537
2006
55.
E. Doubtsov, “An F. and M. Riesz theorem on the complex sphere”, J. Fourier Anal. Appl. , 12 :3 (2006), 225–231
2
[x]
56.
E. S. Dubtsov, “Bloch, Hardy, and BMOA spaces in the ball”, J. Math. Sci. (N. Y.) , 139 :2 (2006), 6403–6405
57.
E. S. Dubtsov, “The converse of the Fatou theorem for smooth measures”, J. Math. Sci. (N. Y.) , 134 :4 (2006), 2288–2291
2003
58.
E. S. Dubtsov, “Weakly Outer Inner Functions”, Funct. Anal. Appl. , 37 :2 (2003), 86–93
2005
59.
E. S. Dubtsov, “Weakly cyclic vectors with a given modulus”, J. Math. Sci. (N. Y.) , 129 :4 (2005), 3990–3993
60.
E. S. Dubtsov, “Bounded cyclic functions in the ball”, J. Math. Sci. (N. Y.) , 129 :4 (2005), 3985–3989
2003
61.
E. S. Dubtsov, “A multidimensional Ivashev–Musatov theorem, and slice-measures”, St. Petersburg Math. J. , 14 :6 (2003), 963–983
2002
62.
E. Doubtsov, “An inner function which is not weak outer”, C. R. Math. Acad. Sci. Paris , 334 :11 (2002), 957–960
2
[x]
63.
E. Doubtsov, A. Nicolau, “Symmetric and Zygmund measures in several variables”, Ann. Inst. Fourier (Grenoble) , 52 :1 (2002), 153–177
6
[x]
2001
64.
E. Doubtsov, “Leibenzon's backward shift and composition operators”, Proc. Amer. Math. Soc. , 129 :12 (2001), 3495–3499
1
[x]
2000
65.
E. Doubtsov, “Little Bloch functions, symmetric pluriharmonic measures, and Zygmund's dichotomy”, J. Funct. Anal. , 170 :2 (2000), 286–306
7
[x]
66.
E. Doubtsov, “Nevanlinna functions as quotients”, Proc. Amer. Math. Soc. , 128 :10 (2000), 2899–2901
1
[x]
2001
67.
E. S. Dubtsov, “Regular unitarily invariant spaces on the complex sphere”, J. Math. Sci. (New York) , 107 :4 (2001), 4002–4021
1998
68.
E. Doubtsov, “Corrected outer functions”, Proc. Amer. Math. Soc. , 126 :2 (1998), 515–522
1
[x]
69.
E. Doubtsov, “Minimal solutions of the Gleason problem”, Complex Variables Theory Appl. , 36 :1 (1998), 27–35
2
[x]
70.
E. Doubtsov, “Henkin measures, Riesz products and singular sets”, Ann. Inst. Fourier (Grenoble) , 48 :3 (1998), 699–728
5
[x]
71.
E. Doubtsov, “Singular measures with small $H(p,q)$ -projections”, Ark. Mat. , 36 :2 (1998), 355–361
3
[x]
1997
72.
E. Doubtsov, “Approximation on the sphere by Besov analytic functions”, Studia Math. , 124 :2 (1997), 179–192
2
[x]
1995
73.
E. S. Dubtsov, “Some problems of harmonic analysis on a complex sphere”, Vestnik St. Petersburg Univ. Math. , 28 :1 (1995), 12–16
1997
74.
E. S. Dubtsov, “Singular parts of pluriharmonic measures”, J. Math. Sci. (N. Y.) , 85 :2 (1997), 1790–1793
1994
75.
E. S. Dubtsov, “On the radial behavior of functions holomorphic in a ball”, Vestnik St. Petersburg Univ. Math. , 27 :3 (1994), 21–27
Presentations in Math-Net.Ru
1.
Взаимно сингулярные произведения Рисса на единичной сфере E. Doubtsov
Seminar on Operator Theory and Function Theory April 22, 2024 17:30
2.
Обратные меры Карлесона для пространств Харди в единичном шаре E. S. Dubtsov
Seminar on Operator Theory and Function Theory November 27, 2023 17:30
3.
Меры Кларка на сфере: свойства и приложения E. Doubtsov
Conference on Complex Analysis and its Applications September 15, 2023 15:00
4.
Clark measures and composition operators in several variables E. Doubtsov
One-Parameter Semigroups of Operators (OPSO 2023) February 28, 2023 12:00
5.
Сингулярные интегралы на регулярных пространствах BMO E. Doubtsov
Seminar on Operator Theory and Function Theory December 5, 2022 17:30
6.
Меры Кларка и операторы композиции для нескольких переменных E. Doubtsov
November 8, 2022 17:50
7.
Операторы Кальдерона–Зигмунда на регулярном пространстве BMO E. Doubtsov
October 25, 2022 17:40
8.
T(P) теорема для пространства Зигмунда E. S. Dubtsov
Seminar on Operator Theory and Function Theory November 22, 2021 17:30
9.
Clark measures and composition operators on the unit ball of ${\mathbb C}^n$ E. Doubtsov
Virtual Workshop “Complex Analysis and Geometry” November 16, 2021 17:10
10.
Clark measures on products of spheres E. Doubtsov
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 12, 2021 17:20
11.
Singular integrals and regular BMO space E. Doubtsov, A. V. Vasin
Function Theory, Operator Theory and Quantum Information Theory October 7, 2021 15:00
12.
Дифференцирование и интегрирование в пространствах роста E. Doubtsov
Traditional winter session MIAN–POMI devoted to the topic "Analysis" December 20, 2019 11:15
13.
Меры Кларка на торе и на сфере E. S. Dubtsov
Seminar on Operator Theory and Function Theory September 16, 2019 17:30
14.
Факторизация обратимых матриц над кольцами голоморфных функций E. Doubtsov
Seminar on Operator Theory and Function Theory November 12, 2018 17:30
15.
Плюригармонические меры Кларка и операторы композиции E. Doubtsov
Seminar on Operator Theory and Function Theory April 2, 2018 17:30
16.
Интегральные средние как логарифмически выпуклые веса общего вида E. Doubtsov
Seminar on Operator Theory and Function Theory October 2, 2017 17:30
17.
Приближение собственными голоморфными отображениями и
обобщенные операторы Вольтерра E. Doubtsov
Seminar on Operator Theory and Function Theory April 17, 2017 17:30
18.
Операторы композиции между пространствами Блоха и BMOA в
полидисках E. Doubtsov
Seminar on Operator Theory and Function Theory September 12, 2016 17:30
19.
Аппроксимация голоморфными и гармоническими отображениями E. Doubtsov
Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences June 14, 2016 14:30
20.
Ограниченность преобразования Бёрлинга на пространствах Кампанато E. Doubtsov
Seminar on Operator Theory and Function Theory April 25, 2016 17:30
21.
Composition operators between Bloch spaces and $\textrm{BMOA}$ E. Doubtsov
Traditional winter session MIAN–POMI devoted to the topic "Complex
analysis" December 21, 2015 17:05
22.
Голоморфное приближение радиальных весов на комплексной плоскости E. Doubtsov
Seminar on Operator Theory and Function Theory October 26, 2015 17:30
23.
Градиент внутренних функций в шаре E. Doubtsov
Seminar on Operator Theory and Function Theory March 16, 2015 17:30
24.
Гармоническая аппроксимация конечными суммами модулей E. Doubtsov
Seminar on Operator Theory and Function Theory November 17, 2014 17:30
25.
Растущие пространства Харди для весов со свойством удвоения E. S. Dubtsov
Seminar on Operator Theory and Function Theory April 7, 2014 17:30
26.
Радиальный рост функций Блоха в комплексном шаре E. Doubtsov
Seminar on Operator Theory and Function Theory November 18, 2013 17:30
27.
Нуль-ряды на комплексной сфере E. Doubtsov
Seminar on Operator Theory and Function Theory April 22, 2013 17:30
28.
Гиперболические классы Харди и пространство Блоха E. Doubtsov
Seminar on Operator Theory and Function Theory March 11, 2013 17:30
29.
Модули голоморфных функций и логарифмически выпуклые радиальные веса E. Doubtsov
Seminar on Operator Theory and Function Theory December 3, 2012 17:30
30.
Sums of moduli for holomorphic functions E. Doubtsov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences November 19, 2012 13:00
31.
Гиперболическая производная, считающая функция Неванлинны и квадратичная функция Лузина E. S. Dubtsov
Seminar on Operator Theory and Function Theory November 28, 2011 17:30
32.
Операторы композиции между пространствами Блоха и BMOA E. S. Dubtsov
Seminar on Operator Theory and Function Theory September 26, 2011 17:30
Organisations