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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5 papers · 1 filter

math.CA2026

Sharp weighted $L^{1}$ bounds for Coulomb fields on the sphere

Evgueni Doubtsov, Ioann Vasilyev, Grigory Voinov

Let $d \geq 2$ , let $α_{1}, \dots, α_{n} > 0$ , and put $A = \sum_{k} α_{k}$ . We determine, up to constants depending only on $d$ , the smallest possible $L^{1}$ norm in the unit ball $\mathbb{B…

math.FA2026

Square function characterization of Hardy-type spaces

Evgeny Abakumov, Evgueni Doubtsov, Dmitry Rutsky

The well-known characterization of Hardy spaces $H_{p} (D)$ , $0 < p < \infty$ , in terms of the Littlewood-Paley g-function $$ S f (ζ) = \left(\int_0^1 |f' (r ζ)|^2…

math.CV2026

Composition operators between de Branges-Rovnyak and Hardy spaces

Evgueni Doubtsov, Andrei V. Vasin

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

math.CV2026

Composition operators between model and Hardy spaces

Evgueni Doubtsov

Let $n \geq 1$ and $φ : D^{n} \to D$ be a holomorphic function, where $D$ denotes the open unit disk of $C$ . Let $Θ : D \to D$ be an i…

math.CA2026

Weighted Chui's conjecture

Evgueni Doubtsov, Anton Tselishchev, Ioann Vasilyev

The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the Chui conjecture is valid in the case where the gradient of Coulomb poten…