Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Phone: +7 (812) 310 71 64
Fax: +7 (812) 310 53 77
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
