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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 2015Show all

4 papers · 1 filter

math.CA2015

Estimates for norms of two-weighted summation operators on trees for

A. A. Vasil'eva

In this paper, estimates for norms of weighted summation operators (discrete Hardy-type operators) on a tree are obtained for and for arbitrary weights and trees.

math.FA2015

Estimates for entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases

A. A. Vasil'eva

In this paper we obtain order estimates for entropy numbers of embeddings of weighted Sobolev spaces into weighted Lebesgue spaces and of weighted summation operators on trees. Her…

math.FA2015★ 3 cited

Entropy numbers of embedding operators of weighted Sobolev spaces with weights that are functions of distance from some h-set

A. A. Vasil'eva

In this paper order estimates for entropy numbers of embeddings of weighted Sobolev spaces on a John domain are obtained. In addition, we obtain order estimates for entropy numbers…

math.FA2015★ 6 cited

Widths of weighted Sobolev classes with weights that are functions of distance to some h-set: some limiting cases

A. A. Vasil'eva

Here we obtain order estimates for widths of weighted Sobolev classes in the weighted Lebesgue space where parameters of the second weight satisfy some limiting conditions.