Persons: Doubtsov, Evgueni

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Doubtsov, Evgueni

Total publications:	77 (77)
in MathSciNet:	76 (76)
in zbMATH:	73 (73)
in Web of Science:	52 (52)
in Scopus:	68 (68)
Cited articles:	53
Citations:	190
Presentations:	32

Number of views:
This page:	7192
Abstract pages:	4868
Full texts:	1430
References:	777

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:

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/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

List of publications:

scientific publications

by years

by types

by times cited

common list

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


2025
1.	E. Doubtsov, “Mutual singularity of Riesz products on the unit sphere”, Proceedings of the American Mathematical Society, 153:1 (2025), 269–277

2024
2.	A. B. Aleksandrov, E. Doubtsov, “Dominant Sets for Model Spaces in Several Variables”, Math. Notes, 115:2 (2024), 135–141
3.	E. Doubtsov, “Reverse Carleson measures on the closed polydisk”, Journal of Analysis, 32 (2024), 3173–3183
4.	E. Doubtsov, “Compact composition operators on model spaces”, Canad. Math. Bull., 2024, 1–7 (to appear)
5.	E. Doubtsov, D. V. Rutsky, “Compact linear combinations of composition operators on Hardy spaces”, Archiv der Mathematik, 2024, 1–7 (Published online)
6.	A. V. Vasin, E. Doubtsov, “A characterization of Calderón–Zygmund operators on the regular $\mathrm{BMO}$ space”, Algebra i Analiz, 36:6 (2024), 16–29

2023
7.	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]
8.	E. Doubtsov, A. V. Vasin, “Calderón-Zygmund operators on RBMO”, Proceedings of the American Mathematical Society, 151:2 (2023), 595–610
9.	A. V. Vasin, E. Doubtsov, “A $T(P)$-Theorem for Zygmund Spaces on Domains”, Math. Notes, 114:1 (2023), 30–45
10.	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
11.	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
12.	A. B. Aleksandrov, E. Doubtsov, “Clark measures on the complex sphere”, Journal of Functional Analysis, 278:2 (2020), 108314 , 30 pp.	10 ^[x]
13.	E. Doubtsov, “Clark measures on the torus”, Proc. Amer. Math. Soc., 148:5 (2020), 2009–2017	4 ^[x]

2019
14.	E. Doubtsov, “Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order”, Complex Var. Elliptic Equ., 64:4 (2019), 563–573
15.	A. B. Aleksandrov, E. Doubtsov, “Pluriharmonic Clark measures and analogs of model spaces”, Comptes Rendus Mathematique, 357:1 (2019), 7–12	3 ^[x]
16.	E. Abakumov, E. Doubtsov, “Univalent symbols of Volterra operators on growth spaces”, Analysis and Mathematical Physics, 9:3 (2019), 911–917	1 ^[x]
17.	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	8 ^[x]
18.	E. Doubtsov, “Integration and differentiation in Hardy growth spaces”, Complex Analysis and Operator Theory, 13:4 (2019), 1883–1893	1 ^[x]

2018
19.	E. Abakumov, E. Doubtsov, “Approximation by proper holomorphic maps and tropical power series”, Constr. Approx., 47:2 (2018), 321–338	7 ^[x]
20.	E. Doubtsov, “Integral means of holomorphic functions as generic log-convex weights”, Bull. Aust. Math. Soc., 97:1 (2018), 88–93	2 ^[x]

2019
21.	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
22.	E. Abakumov, E. Doubtsov, “Volterra type operators on growth Fock spaces”, Arch. Math. (Basel), 108:4 (2017), 383–393	8 ^[x]
23.	E. Doubtsov, A. V. Vasin, “Restricted Beurling transforms on Campanato spaces”, Complex Var. Elliptic Equ., 62:3 (2017), 333–346	5 ^[x]

2016
24.	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
25.	E. Abakumov, E. Doubtsov, “Growth of proper holomorphic maps and tropical power series”, Comptes Rendus Mathematique, 354:5 (2016), 465–469	2 ^[x]

2018
26.	E. S. Dubtsov, “Composition operators between Bloch and BMOA spaces on polydisks”, J. Math. Sci. (N. Y.), 229:5 (2018), 518–527

2015
27.	E. Doubtsov, “Integral means of weighted Hardy-Bloch functions”, Arch. Math. (Basel), 104:1 (2015), 69–76
28.	E. Abakumov, E. Doubtsov, “Moduli of holomorphic functions and logarithmically convex radial weights”, Bull. London Math. Soc., 47:3 (2015), 519–532	15 ^[x]
29.	E. Doubtsov, “Harmonic approximation by finite sums of moduli”, J. Math. Anal. Appl., 430:2 (2015), 685–694	4 ^[x]

2014
30.	E. Doubtsov, “Weighted Bloch spaces and quadratic integrals”, J. Math. Anal. Appl., 412:1 (2014), 269–276	3 ^[x]
31.	E. Doubtsov, “Radial growth of Bloch functions in the complex ball”, Arch. Math. (Basel), 102:4 (2014), 391–399
32.	E. Doubtsov, “Characterisations of Hardy growth spaces with doubling weights”, Bull. Aust. Math. Soc., 90:2 (2014), 275–282	1 ^[x]

2013
33.	E. Doubtsov, A. N. Petrov, “Bloch-to-Hardy composition operators”, Cent. Eur. J. Math., 11:6 (2013), 985–1003	1 ^[x]

2012
34.	E. Doubtsov, “Hyperbolic BMOA classes”, J. Math. Anal. Appl., 391:1 (2012), 57–66	1 ^[x]
35.	E. Abakumov, E. Doubtsov, “Reverse estimates in growth spaces”, Math. Z., 271:1-2 (2012), 399–413	18 ^[x]
36.	E. Doubtsov, “Inner mappings, hyperbolic gradients and composition operators”, Integral Equations Operator Theory, 73:4 (2012), 537–551	3 ^[x]
37.	E. Doubtsov, “Bloch-to-BMOA compositions on complex balls”, Proc. Amer. Math. Soc., 140:12 (2012), 4217–4225	9 ^[x]
38.	E. Abakumov, E. Doubtsov, “Null-series on the complex sphere”, J. Approx. Theory, 164:10 (2012), 1427–1442
39.	E. S. Dubtsov, “Weighted composition operators into Lipschitz spaces”, J. Math. Sci. (N. Y.), 182:5 (2012), 630–638

2010
40.	E. Doubtsov, “Families of fractional Fantappiè transforms”, Bull. Aust. Math. Soc., 82:1 (2010), 62–78	1 ^[x]
41.	E. Doubtsov, “Carleson-Sobolev measures for weighted Bloch spaces”, J. Funct. Anal., 258:8 (2010), 2801–2816	4 ^[x]
42.	E. Doubtsov, “Fractional Cauchy transforms, multipliers and Cesàro operators”, Proc. Amer. Math. Soc., 138:2 (2010), 663–673	3 ^[x]
43.	E. S. Dubtsov, “Families of fractional Cauchy transforms in the ball”, St. Petersburg Math. J., 21:6 (2010), 957–978

2009
44.	E. S. Dubtsov, “Weighted composition operators on growth spaces”, Siberian Math. J., 50:6 (2009), 998–1006

2010
45.	E. S. Dubtsov, “Multipliers for logarithmic Cauchy integrals in the ball”, J. Math. Sci. (N.Y.), 2010, 166, no. 1, 23–30
46.	E. S. Dubtsov, “Classical operators on Bloch spaces”, J. Math. Sci. (N. Y.), 165:4 (2010), 449–454

2009
47.	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]
48.	E. Doubtsov, “Multipliers of fractional Cauchy transforms”, Integral Equations Operator Theory, 64:2 (2009), 177–192	3 ^[x]
49.	E. Doubtsov, “Characterizations of the hyperbolic Nevanlinna class in the ball”, Complex Var. Elliptic Equ., 54:2 (2009), 119–124	3 ^[x]
50.	E. S. Dubtsov, “Radial limits of positive solutions of the Darboux equation”, J. Math. Sci. (N.Y.), 156:5 (2009), 813–818

2008
51.	E. Doubtsov, “Radial limits of inner functions and Bloch spaces”, Proc. Amer. Math. Soc., 136:6 (2008), 2177–2182
52.	E. S. Dubtsov, “Derivatives of regular measures”, St. Petersburg Math. J., 19:2 (2008), 225–238
53.	E. S. Dubtsov, “Radial behavior of positive harmonic Bloch functions”, J. Math. Sci. (N. Y.), 148:6 (2008), 841–845

2007
54.	E. Doubtsov, “Differentiation properties of symmetric measures”, Potential Anal., 27:4 (2007), 389–401	1 ^[x]
55.	E. Doubtsov, “Complemented invariant subspaces and interpolation sequences”, Proc. Amer. Math. Soc., 135:2 (2007), 393–395	1 ^[x]
56.	E. S. Dubtsov, “Characterizations of Hardy–Orlicz and Bergman–Orlicz spaces”, J. Math. Sci. (N. Y.), 141:5 (2007), 1531–1537

2006
57.	E. Doubtsov, “An F. and M. Riesz theorem on the complex sphere”, J. Fourier Anal. Appl., 12:3 (2006), 225–231	2 ^[x]
58.	E. S. Dubtsov, “Bloch, Hardy, and BMOA spaces in the ball”, J. Math. Sci. (N. Y.), 139:2 (2006), 6403–6405
59.	E. S. Dubtsov, “The converse of the Fatou theorem for smooth measures”, J. Math. Sci. (N. Y.), 134:4 (2006), 2288–2291

2003
60.	E. S. Dubtsov, “Weakly Outer Inner Functions”, Funct. Anal. Appl., 37:2 (2003), 86–93

2005
61.	E. S. Dubtsov, “Weakly cyclic vectors with a given modulus”, J. Math. Sci. (N. Y.), 129:4 (2005), 3990–3993
62.	E. S. Dubtsov, “Bounded cyclic functions in the ball”, J. Math. Sci. (N. Y.), 129:4 (2005), 3985–3989

2003
63.	E. S. Dubtsov, “A multidimensional Ivashev–Musatov theorem, and slice-measures”, St. Petersburg Math. J., 14:6 (2003), 963–983

2002
64.	E. Doubtsov, “An inner function which is not weak outer”, C. R. Math. Acad. Sci. Paris, 334:11 (2002), 957–960	2 ^[x]
65.	E. Doubtsov, A. Nicolau, “Symmetric and Zygmund measures in several variables”, Ann. Inst. Fourier (Grenoble), 52:1 (2002), 153–177	6 ^[x]

2001
66.	E. Doubtsov, “Leibenzon's backward shift and composition operators”, Proc. Amer. Math. Soc., 129:12 (2001), 3495–3499	1 ^[x]

2000
67.	E. Doubtsov, “Little Bloch functions, symmetric pluriharmonic measures, and Zygmund's dichotomy”, J. Funct. Anal., 170:2 (2000), 286–306	7 ^[x]
68.	E. Doubtsov, “Nevanlinna functions as quotients”, Proc. Amer. Math. Soc., 128:10 (2000), 2899–2901	1 ^[x]

2001
69.	E. S. Dubtsov, “Regular unitarily invariant spaces on the complex sphere”, J. Math. Sci. (New York), 107:4 (2001), 4002–4021

1998
70.	E. Doubtsov, “Corrected outer functions”, Proc. Amer. Math. Soc., 126:2 (1998), 515–522	1 ^[x]
71.	E. Doubtsov, “Minimal solutions of the Gleason problem”, Complex Variables Theory Appl., 36:1 (1998), 27–35	2 ^[x]
72.	E. Doubtsov, “Henkin measures, Riesz products and singular sets”, Ann. Inst. Fourier (Grenoble), 48:3 (1998), 699–728	6 ^[x]
73.	E. Doubtsov, “Singular measures with small $H(p,q)$-projections”, Ark. Mat., 36:2 (1998), 355–361	3 ^[x]

1997
74.	E. Doubtsov, “Approximation on the sphere by Besov analytic functions”, Studia Math., 124:2 (1997), 179–192	2 ^[x]

1995
75.	E. S. Dubtsov, “Some problems of harmonic analysis on a complex sphere”, Vestnik St. Petersburg Univ. Math., 28:1 (1995), 12–16

1997
76.	E. S. Dubtsov, “Singular parts of pluriharmonic measures”, J. Math. Sci. (N. Y.), 85:2 (1997), 1790–1793

1994
77.	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

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