Evgueni Doubtsov

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math.CV2017

Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order

Evgueni Doubtsov

Let $D$ denote the unit disk of $C$ and let $Λ^{α} (D)$ denote the scale of holomorphic Lipschitz spaces extended to all $α \in R$ . For arbitrary $α,…

math.CV2017

Integral means of holomorphic functions as generic log-convex weights

Evgueni Doubtsov

Let $H o l (B_{d})$ denote the space of holomorphic functions on the unit ball $B_{d}$ of $C^{d}$ , $d \geq 1$ . Given a log-convex strictly positive weight $w (r)$ on $[0, 1)$ …

math.CV2016

Restricted Beurling transforms on Campanato spaces

Evgueni Doubtsov, Andrei V. Vasin

Let $Ω \subset C$ be a bounded domain with $C^{1, ω}$ -smooth boundary, where $ω$ is a Dini-smooth modulus of continuity. We prove that the restricted Beurling tran…