3 citations · 4 across the 7 of their papers we have counts for
8 papers
A "rare'' plane set with Hausdorff dimension 2
Vladimir Eiderman, Michael Larsen
We prove that for every at most countable family of real functions on there is a single-valued real function , , such that the Hausdorff dimen…
On the maximum principle for the Riesz transform
Vladimir Eiderman, Fedor Nazarov
Let be a measure in with compact support and continuous density, and let We cons…
Almost-additivity of analytic capacity and Cauchy independent measures
Vladimir Eiderman, Alexander Reznikov, Alexander Volberg
We show that, given a family of discs centered at a chord-arc curve, the analytic capacity of a union of arbitrary subsets of these discs (one subset in each disc) is comparable wi…
The -Riesz transform of an -dimensional measure in is unbounded for
Vladimir Eiderman, Fedor Nazarov, Alexander Volberg
In this paper, we prove that for there exists no totally lower irregular finite positive Borel measure in with\break $\mathcal H^s(\suppμ)<+\infty$ such that…
Singular operators with antisymmetric kernels, related capacities, and Wolff potentials
David R. Adams, Vladimir Eiderman
We consider a generalization of the Riesz operator in and obtain estimates for its norm and for related capacities via the modified Wolff potential. These estimates are based…
-norm and estimates from below for Riesz transforms on Cantor sets
Vladimir Eiderman, Alexander Volberg
The aim of this paper is to estimate the -norms of vector-valued Riesz transforms and the norms of Riesz operators on Cantor sets in , as well as to study the di…