A. Vasil'eva

activity

20122024

most citedAn embedding theorem for weighted Sobolev classes on a John domain: case of weights that are functions of a distance to a certain h-set

11 citations · 32 across the 15 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.FA2013★ 5 cited

Widths of weighted Sobolev classes on a domain with a peak: some limiting cases

A. A. Vasil'eva

Order estimates for Kolmogorov, Gelfand and linear widths of a weighted Sobolev class on a domain with a peak in a weighted Lebesgue space are obtained for some special weights.

math.FA2013

Estimates for norms of two-weighted summation operators on a tree under some conditions on weights

A. A. Vasil'eva

Two-side estimates for two-weighted discrete Hardy-type operators on a tree are obtained. For general weights we prove the discrete analogue of Evans - Harris - Pick theorem (it is…

math.FA2013★ 11 cited

An embedding theorem for weighted Sobolev classes on a John domain: case of weights that are functions of a distance to a certain h-set

A. A. Vasil'eva

Let $Ω$ be a John domain, and let $Γ \subset \partial Ω$ be an $h$ -set. For some functions $h$ and some weight functions depending on distance from $Γ$ , embedding theorems for a wei…