A. Vasin

collaborators

2 papers

math.FA2025

On harmonic approximation of Lipschitz functions on compacts in $R^{d}$

Nikolai A. Shirokov, Andrei V. Vasin

Given a porous compact $K \subset R^{d}$ and a continuity modulus $ω$ , we prove a quantitative Jackson-Bernstein type theorem on harmonic approximation. That is, a function…

math.FA2022

A T(P) theorem for Zygmund spaces on domains

Andrei V. Vasin, Evgueni Doubtsov

Let $D \subset R^{d}$ be a bounded Lipschitz domain, $ω$ be a high order modulus of continuity and let $T$ be a convolution Calderón-Zygmund operator. We characterize the bou…

On harmonic approximation of Lipschitz functions on compacts in Rd

A T(P) theorem for Zygmund spaces on domains

On harmonic approximation of Lipschitz functions on compacts in $R^{d}$