Evgueni Doubtsov

activity

20132026

most citedModuli of holomorphic functions and logarithmically convex radial weights

20 citations · 30 across the 22 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.CV2024

Reverse Carleson measures for spaces of analytic functions

Evgueni Doubtsov, Anton Tselishchev, Ioann Vasilyev

Let $X$ be a quasi-Banach space of analytic functions in the unit disc and let $q > 0$ . A finite positive Borel measure $μ$ in the closed unit disc $D$ is called…

math.FA2024

A characterization of Calderón-Zygmund operators on RBMO

Evgueni Doubtsov, Andrei V. Vasin

Let $RBMO (μ) = RBMO (R^{m}, μ)$ denote the regular BMO space introduced by X. Tolsa for an $n$ -dimensional finite positive measure on $R^{m}$ , $0<n \…

math.CV2024

Dimensions of Riesz products and pluriharmonic measures

Evgueni Doubtsov

We estimate the energy and Hausdorff dimensions of the Riesz products on the unit sphere of $C^{n}$ , $n \geq 2$ . Also, we obtain similar results for the pluriharmonic measures…

math.CV2024

Mutual singularity of Riesz products on the unit sphere

Evgueni Doubtsov

We prove analogs of Peyrière's mutual singularity theorem for standard and generalized Riesz products on the unit sphere of $C^{n}$ , $n \geq 2$ . As a corollary, we obtain an a…

math.CV2024

Compact linear combinations of composition operators on Hardy spaces

Evgueni Doubtsov, Dmitry V. Rutsky

Let $φ_{j}$ , $j = 1, 2, \dots, N$ , be holomorphic self-maps of the unit disk $D$ of $C$ . We prove that the compactness of a linear combination of the composition opera…

math.CV2024

Compact composition operators on model spaces

Evgueni Doubtsov

Let $φ : B_{d} \to D$ , $d \geq 1$ , be a holomorphic function, where $B_{d}$ denotes the open unit ball of $C^{d}$ and $D = B_{1}$ . Let $Θ : D \to D$ b…