V. Eiderman

activity

20032019

most citedA "rare'' plane set with Hausdorff dimension 2

3 citations · 4 across the 7 of their papers we have counts for

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Showing 2010 · math.CAShow all

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math.CA2010

Singular operators with antisymmetric kernels, related capacities, and Wolff potentials

David R. Adams, Vladimir Eiderman

We consider a generalization of the Riesz operator in $R^{d}$ and obtain estimates for its norm and for related capacities via the modified Wolff potential. These estimates are based…

math.CA2010

$L^{2}$ -norm and estimates from below for Riesz transforms on Cantor sets

Vladimir Eiderman, Alexander Volberg

The aim of this paper is to estimate the $L^{2}$ -norms of vector-valued Riesz transforms $R_{ν}^{s}$ and the norms of Riesz operators on Cantor sets in $R^{d}$ , as well as to study the di…

Singular operators with antisymmetric kernels, related capacities, and Wolff potentials

L2-norm and estimates from below for Riesz transforms on Cantor sets

$L^{2}$ -norm and estimates from below for Riesz transforms on Cantor sets