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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3 papers · 1 filter

math.AP2014

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…

math.AP2011

The $s$ -Riesz transform of an $s$ -dimensional measure in $R^{2}$ is unbounded for $1 < s < 2$

Vladimir Eiderman, Fedor Nazarov, Alexander Volberg

In this paper, we prove that for $s \in (1, 2)$ there exists no totally lower irregular finite positive Borel measure $μ$ in $R^{2}$ with\break $\mathcal H^s(\suppμ)<+\infty$ such that…

math.AP2008★ 1 cited

Vector-valued Riesz potentials: Cartan type estimates and related capacities

V. Eiderman, F. Nazarov, A. Volberg

There are many interesting problems about the electrostatic potential of finitely many charges. We consider one of them concerning the intensity of the field, in other words, about…

Almost-additivity of analytic capacity and Cauchy independent measures

The s-Riesz transform of an s-dimensional measure in R2 is unbounded for 1<s<2

Vector-valued Riesz potentials: Cartan type estimates and related capacities

The $s$ -Riesz transform of an $s$ -dimensional measure in $R^{2}$ is unbounded for $1 < s < 2$