Persons: Doubtsov, Evgueni

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Doubtsov, Evgueni

Statistics
in MathSciNet:	80 (80)
in zbMATH:	77 (77)
in Web of Science:	57 (57)
in Scopus:	69 (69)

Professor of Russian Academy of Sciences

Doctor of physico-mathematical sciences (2005)

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)

1.	E. Abakumov, E. Doubtsov, “Reverse estimates in growth spaces”, Math. Z., 271:1-2 (2012), 399–413	19 ^[x]
2.	E. Abakumov, E. Doubtsov, “Moduli of holomorphic functions and logarithmically convex radial weights”, Bull. London Math. Soc., 47:3 (2015), 519–532	15 ^[x]
3.	A. B. Aleksandrov, E. Doubtsov, “Clark measures on the complex sphere”, Journal of Functional Analysis, 278:2 (2020), 108314 , 30 pp.	12 ^[x]
4.	E. Abakumov, E. Doubtsov, “Volterra type operators on growth Fock spaces”, Arch. Math. (Basel), 108:4 (2017), 383–393	9 ^[x]
5.	E. Doubtsov, “Bloch-to-BMOA compositions on complex balls”, Proc. Amer. Math. Soc., 140:12 (2012), 4217–4225	9 ^[x]
6.	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]
7.	E. Doubtsov, “Little Bloch functions, symmetric pluriharmonic measures, and Zygmund's dichotomy”, J. Funct. Anal., 170:2 (2000), 286–306	9 ^[x]
8.	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]
9.	E. Doubtsov, “Clark measures on the torus”, Proc. Amer. Math. Soc., 148:5 (2020), 2009–2017	7 ^[x]
10.	E. Abakumov, E. Doubtsov, “Approximation by proper holomorphic maps and tropical power series”, Constr. Approx., 47:2 (2018), 321–338	7 ^[x]
11.	E. Doubtsov, “Henkin measures, Riesz products and singular sets”, Ann. Inst. Fourier (Grenoble), 48:3 (1998), 699–728	7 ^[x]
12.	E. Doubtsov, A. Nicolau, “Symmetric and Zygmund measures in several variables”, Ann. Inst. Fourier (Grenoble), 52:1 (2002), 153–177	6 ^[x]
13.	E. Doubtsov, A. V. Vasin, “Restricted Beurling transforms on Campanato spaces”, Complex Var. Elliptic Equ., 62:3 (2017), 333–346	5 ^[x]
14.	E. Doubtsov, “Carleson-Sobolev measures for weighted Bloch spaces”, J. Funct. Anal., 258:8 (2010), 2801–2816	5 ^[x]
15.	A. B. Aleksandrov, E. Doubtsov, “Clark measures and de Branges-Rovnyak spaces in several variables”, Complex Var. Elliptic Equ., 68:2 (2023), 212–221	4 ^[x]
16.	E. Doubtsov, “Harmonic approximation by finite sums of moduli”, J. Math. Anal. Appl., 430:2 (2015), 685–694	4 ^[x]
17.	E. Doubtsov, “Weighted Bloch spaces and quadratic integrals”, J. Math. Anal. Appl., 412:1 (2014), 269–276	4 ^[x]
18.	E. S. Dubtsov, “Singular parts of pluriharmonic measures”, J. Math. Sci. (N. Y.), 85:2 (1997), 1790–1793
19.	A. B. Aleksandrov, E. Doubtsov, “Pluriharmonic Clark measures and analogs of model spaces”, Comptes Rendus Mathematique, 357:1 (2019), 7–12	3 ^[x]
20.	E. Doubtsov, “Hyperbolic BMOA classes”, J. Math. Anal. Appl., 391:1 (2012), 57–66	3 ^[x]
21.	E. Doubtsov, “Inner mappings, hyperbolic gradients and composition operators”, Integral Equations Operator Theory, 73:4 (2012), 537–551	3 ^[x]
22.	E. Doubtsov, “Fractional Cauchy transforms, multipliers and Cesàro operators”, Proc. Amer. Math. Soc., 138:2 (2010), 663–673	3 ^[x]
23.	E. Doubtsov, “Multipliers of fractional Cauchy transforms”, Integral Equations Operator Theory, 64:2 (2009), 177–192	3 ^[x]
24.	E. Doubtsov, “Characterizations of the hyperbolic Nevanlinna class in the ball”, Complex Var. Elliptic Equ., 54:2 (2009), 119–124	3 ^[x]
25.	E. S. Dubtsov, “Derivatives of regular measures”, St. Petersburg Math. J., 19:2 (2008), 225–238
26.	E. S. Dubtsov, “The converse of the Fatou theorem for smooth measures”, J. Math. Sci. (N. Y.), 134:4 (2006), 2288–2291
27.	E. Doubtsov, “An inner function which is not weak outer”, C. R. Math. Acad. Sci. Paris, 334:11 (2002), 957–960	3 ^[x]
28.	E. Doubtsov, “Singular measures with small $H(p,q)$-projections”, Ark. Mat., 36:2 (1998), 355–361	3 ^[x]
29.	E. Doubtsov, “Integral means of holomorphic functions as generic log-convex weights”, Bull. Aust. Math. Soc., 97:1 (2018), 88–93	2 ^[x]
30.	E. Abakumov, E. Doubtsov, “Growth of proper holomorphic maps and tropical power series”, Comptes Rendus Mathematique, 354:5 (2016), 465–469	2 ^[x]
31.	E. S. Dubtsov, “Weighted composition operators into Lipschitz spaces”, J. Math. Sci. (N. Y.), 182:5 (2012), 630–638
32.	E. S. Dubtsov, “Families of fractional Cauchy transforms in the ball”, St. Petersburg Math. J., 21:6 (2010), 957–978
33.	E. S. Dubtsov, “Weighted composition operators on growth spaces”, Siberian Math. J., 50:6 (2009), 998–1006
34.	E. Doubtsov, “An F. and M. Riesz theorem on the complex sphere”, J. Fourier Anal. Appl., 12:3 (2006), 225–231	2 ^[x]
35.	E. Doubtsov, “Minimal solutions of the Gleason problem”, Complex Variables Theory Appl., 36:1 (1998), 27–35	2 ^[x]
36.	E. Doubtsov, “Approximation on the sphere by Besov analytic functions”, Studia Math., 124:2 (1997), 179–192	2 ^[x]
37.	E. Doubtsov, D. V. Rutsky, “Compact linear combinations of composition operators on Hardy spaces”, Archiv der Mathematik, 124:2 (2025), 157–163	1 ^[x]
38.	E. Doubtsov, “Mutual singularity of Riesz products on the unit sphere”, Proceedings of the American Mathematical Society, 153:1 (2025), 269–277	1 ^[x]
39.	A. V. Vasin, E. Doubtsov, “A $T(P)$-Theorem for Zygmund Spaces on Domains”, Math. Notes, 114:1 (2023), 30–45
40.	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]
41.	E. Abakumov, E. Doubtsov, “Univalent symbols of Volterra operators on growth spaces”, Analysis and Mathematical Physics, 9:3 (2019), 911–917	1 ^[x]
42.	E. Doubtsov, “Integration and differentiation in Hardy growth spaces”, Complex Analysis and Operator Theory, 13:4 (2019), 1883–1893	1 ^[x]
43.	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
44.	E. S. Dubtsov, “Composition operators between Bloch and BMOA spaces on polydisks”, J. Math. Sci. (N. Y.), 229:5 (2018), 518–527
45.	E. Doubtsov, “Characterisations of Hardy growth spaces with doubling weights”, Bull. Aust. Math. Soc., 90:2 (2014), 275–282	1 ^[x]
46.	E. Doubtsov, A. N. Petrov, “Bloch-to-Hardy composition operators”, Cent. Eur. J. Math., 11:6 (2013), 985–1003	1 ^[x]
47.	E. Doubtsov, “Families of fractional Fantappiè transforms”, Bull. Aust. Math. Soc., 82:1 (2010), 62–78	1 ^[x]
48.	E. S. Dubtsov, “Multipliers for logarithmic Cauchy integrals in the ball”, J. Math. Sci. (N.Y.), 2010, 166, no. 1, 23–30
49.	E. S. Dubtsov, “Classical operators on Bloch spaces”, J. Math. Sci. (N. Y.), 165:4 (2010), 449–454
50.	E. Doubtsov, “Differentiation properties of symmetric measures”, Potential Anal., 27:4 (2007), 389–401	1 ^[x]
51.	E. Doubtsov, “Complemented invariant subspaces and interpolation sequences”, Proc. Amer. Math. Soc., 135:2 (2007), 393–395	1 ^[x]
52.	E. S. Dubtsov, “Weakly Outer Inner Functions”, Funct. Anal. Appl., 37:2 (2003), 86–93
53.	E. S. Dubtsov, “A multidimensional Ivashev–Musatov theorem, and slice-measures”, St. Petersburg Math. J., 14:6 (2003), 963–983
54.	E. Doubtsov, “Leibenzon's backward shift and composition operators”, Proc. Amer. Math. Soc., 129:12 (2001), 3495–3499	1 ^[x]
55.	E. Doubtsov, “Nevanlinna functions as quotients”, Proc. Amer. Math. Soc., 128:10 (2000), 2899–2901	1 ^[x]
56.	E. Doubtsov, “Corrected outer functions”, Proc. Amer. Math. Soc., 126:2 (1998), 515–522	1 ^[x]
57.	E. Doubtsov, “Compact composition operators on model spaces”, Canad. Math. Bull., 68:4 (2025), 1109–1115
58.	E. S. Doubtsov, “Weak definitions of the hyperbolic BMOA class”, Math. Notes, 117:4 (2025), 556–561
59.	E. S. Doubtsov, “Dimensions of Riesz products and pluriharmonic measures”, Ufa Math. J., 17:3 (2025), 1–8
60.	A. B. Aleksandrov, E. Doubtsov, “Dominant Sets for Model Spaces in Several Variables”, Math. Notes, 115:2 (2024), 135–141
61.	E. Doubtsov, “Reverse Carleson measures on the closed polydisk”, Journal of Analysis, 32 (2024), 3173–3183
62.	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
63.	E. Doubtsov, A. V. Vasin, “Calderón-Zygmund operators on RBMO”, Proceedings of the American Mathematical Society, 151:2 (2023), 595–610
64.	E. Doubtsov, “Reverse Carleson measures for Hardy spaces in the unit ball”, J. Math. Sci. (N. Y.), 284:6 (2024), 767–777
65.	E. Doubtsov, “Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order”, Complex Var. Elliptic Equ., 64:4 (2019), 563–573
66.	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
67.	E. Doubtsov, “Integral means of weighted Hardy-Bloch functions”, Arch. Math. (Basel), 104:1 (2015), 69–76
68.	E. Doubtsov, “Radial growth of Bloch functions in the complex ball”, Arch. Math. (Basel), 102:4 (2014), 391–399
69.	E. Abakumov, E. Doubtsov, “Null-series on the complex sphere”, J. Approx. Theory, 164:10 (2012), 1427–1442
70.	E. S. Dubtsov, “Radial limits of positive solutions of the Darboux equation”, J. Math. Sci. (N.Y.), 156:5 (2009), 813–818
71.	E. Doubtsov, “Radial limits of inner functions and Bloch spaces”, Proc. Amer. Math. Soc., 136:6 (2008), 2177–2182
72.	E. S. Dubtsov, “Radial behavior of positive harmonic Bloch functions”, J. Math. Sci. (N. Y.), 148:6 (2008), 841–845
73.	E. S. Dubtsov, “Characterizations of Hardy–Orlicz and Bergman–Orlicz spaces”, J. Math. Sci. (N. Y.), 141:5 (2007), 1531–1537
74.	E. S. Dubtsov, “Bloch, Hardy, and BMOA spaces in the ball”, J. Math. Sci. (N. Y.), 139:2 (2006), 6403–6405
75.	E. S. Dubtsov, “Weakly cyclic vectors with a given modulus”, J. Math. Sci. (N. Y.), 129:4 (2005), 3990–3993
76.	E. S. Dubtsov, “Bounded cyclic functions in the ball”, J. Math. Sci. (N. Y.), 129:4 (2005), 3985–3989
77.	E. S. Dubtsov, “Regular unitarily invariant spaces on the complex sphere”, J. Math. Sci. (New York), 107:4 (2001), 4002–4021
78.	E. S. Dubtsov, “Some problems of harmonic analysis on a complex sphere”, Vestnik St. Petersburg Univ. Math., 28:1 (1995), 12–16
79.	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.	Компактные линейные комбинации операторов композиции E. Doubtsov Seminar on Operator Theory and Function Theory October 13, 2025 17:30
2.	Взаимно сингулярные произведения Рисса на единичной сфере E. Doubtsov Seminar on Operator Theory and Function Theory April 22, 2024 17:30
3.	Обратные меры Карлесона для пространств Харди в единичном шаре E. S. Dubtsov Seminar on Operator Theory and Function Theory November 27, 2023 17:30
4.	Меры Кларка на сфере: свойства и приложения E. Doubtsov Conference on Complex Analysis and its Applications September 15, 2023 15:00
5.	Clark measures and composition operators in several variables E. Doubtsov One-Parameter Semigroups of Operators (OPSO 2023) February 28, 2023 12:00
6.	Сингулярные интегралы на регулярных пространствах BMO E. Doubtsov Seminar on Operator Theory and Function Theory December 5, 2022 17:30
7.	Меры Кларка и операторы композиции для нескольких переменных E. Doubtsov November 8, 2022 17:50
8.	Операторы Кальдерона–Зигмунда на регулярном пространстве BMO E. Doubtsov October 25, 2022 17:40
9.	T(P) теорема для пространства Зигмунда E. S. Dubtsov Seminar on Operator Theory and Function Theory November 22, 2021 17:30
10.	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
11.	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
12.	Singular integrals and regular BMO space E. Doubtsov, A. V. Vasin Function Theory, Operator Theory and Quantum Information Theory October 7, 2021 15:00
13.	Дифференцирование и интегрирование в пространствах роста E. Doubtsov Traditional winter session MIAN–POMI devoted to the topic "Analysis" December 20, 2019 11:15
14.	Меры Кларка на торе и на сфере E. S. Dubtsov Seminar on Operator Theory and Function Theory September 16, 2019 17:30
15.	Факторизация обратимых матриц над кольцами голоморфных функций E. Doubtsov Seminar on Operator Theory and Function Theory November 12, 2018 17:30
16.	Плюригармонические меры Кларка и операторы композиции E. Doubtsov Seminar on Operator Theory and Function Theory April 2, 2018 17:30
17.	Интегральные средние как логарифмически выпуклые веса общего вида E. Doubtsov Seminar on Operator Theory and Function Theory October 2, 2017 17:30
18.	Приближение собственными голоморфными отображениями и обобщенные операторы Вольтерра E. Doubtsov Seminar on Operator Theory and Function Theory April 17, 2017 17:30
19.	Операторы композиции между пространствами Блоха и BMOA в полидисках E. Doubtsov Seminar on Operator Theory and Function Theory September 12, 2016 17:30
20.	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
21.	Ограниченность преобразования Бёрлинга на пространствах Кампанато E. Doubtsov Seminar on Operator Theory and Function Theory April 25, 2016 17:30
22.	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
23.	Голоморфное приближение радиальных весов на комплексной плоскости E. Doubtsov Seminar on Operator Theory and Function Theory October 26, 2015 17:30
24.	Градиент внутренних функций в шаре E. Doubtsov Seminar on Operator Theory and Function Theory March 16, 2015 17:30
25.	Гармоническая аппроксимация конечными суммами модулей E. Doubtsov Seminar on Operator Theory and Function Theory November 17, 2014 17:30
26.	Растущие пространства Харди для весов со свойством удвоения E. S. Dubtsov Seminar on Operator Theory and Function Theory April 7, 2014 17:30
27.	Радиальный рост функций Блоха в комплексном шаре E. Doubtsov Seminar on Operator Theory and Function Theory November 18, 2013 17:30
28.	Нуль-ряды на комплексной сфере E. Doubtsov Seminar on Operator Theory and Function Theory April 22, 2013 17:30
29.	Гиперболические классы Харди и пространство Блоха E. Doubtsov Seminar on Operator Theory and Function Theory March 11, 2013 17:30
30.	Модули голоморфных функций и логарифмически выпуклые радиальные веса E. Doubtsov Seminar on Operator Theory and Function Theory December 3, 2012 17:30
31.	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
32.	Гиперболическая производная, считающая функция Неванлинны и квадратичная функция Лузина E. S. Dubtsov Seminar on Operator Theory and Function Theory November 28, 2011 17:30
33.	Операторы композиции между пространствами Блоха и BMOA E. S. Dubtsov Seminar on Operator Theory and Function Theory September 26, 2011 17:30

Organisations