Widths of weighted Sobolev classes on a John domain

DOI10.1134/S0081543813010069zbMath1296.46030arXiv1210.1395OpenAlexW2004122589MaRDI QIDQ2446174

A. A. Vasil'eva

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1395

zbMATH Keywords

widthsSobolev classJohn domain

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (13)

Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Bounds for the Kolmogorov widths of the Sobolev weighted classes with conditions on the zero and highest derivatives ⋮ Widths of Sobolev weight classes on a domain with cusp ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ Embedding theorems for a weighted Sobolev class in the space \(L_{q,v}\) with weights having a singularity at a point: case \(v\not\in L_{q}^{1}\) ⋮ Widths of function classes on sets with tree-like structure ⋮ Entropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting cases ⋮ Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero ⋮ Unnamed Item ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set ⋮ Some sufficient conditions for embedding a weighted Sobolev class on a John domain ⋮ Widths of weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set: some limit cases

Cites Work

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