A. Vasin

activity

20162021

collaborators

3 papers

math.CA2021

Calderón-Zygmund operators on RBMO

Evgueni Doubtsov, Andrei V. Vasin

Let $μ$ be an $n$ -dimensional finite positive measure on $R^{m}$ . We obtain a $T 1$ condition sufficient for the boundedness of Calderón-Zygmund operators on $\textrm{RBMO}(μ…

math.FA2017

T1 theorem for Campanato spaces on domains

Andrei V. Vasin

Given a Lipschitz domain $D \subset R^{d},$ a Calderón-Zygmund operator $T$ and a modulus of continuity $ω (x),$ we solve a problem when the restricted operator $T_Df=T(fχ_D)χ…

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…