Andrei V. Vasin

collaborators

3 papers

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.FA2023

Zygmund regularity of even singular integral operators on domains

Andrei Vasin

Given a bounded Lipschitz domain $D \subset R^{d},$ a convolution Calderón-Zygmund operator $T$ and a growth function $ω (x)$ of type $n$ , we study what conditions on the boun…

math.FA2023

A T(L) theorem for the Calderón--Zygmund operators in BMO( $R^{d}$ )

Andrei Vasin

A variant of the global $T (1)$ criterion to characterize the bounded Calderón--Zygmund operators on BMO( $R^{d}$ ) is proved. We apply it to the certain Calderón commutators.

A characterization of Calderón-Zygmund operators on RBMO

Zygmund regularity of even singular integral operators on domains

A T(L) theorem for the Calderón--Zygmund operators in BMO(Rd)

A T(L) theorem for the Calderón--Zygmund operators in BMO( $R^{d}$ )