Widths and entropy numbers of embeddings of Sobolev classes on a H\"{o}lder domain
Functional Analysis
2025-12-02 v1
Abstract
In the present paper we improve Besov's recent result about upper estimates for the entropy numbers of Sobolev classes on a H\"{o}lder domain (in the case when the definition of the Sobolev class involves all partial derivatives of order ). We also obtain upper estimates for the Kolmogorov, linear and the Gelfand widths.
Cite
@article{arxiv.2512.00620,
title = {Widths and entropy numbers of embeddings of Sobolev classes on a H\"{o}lder domain},
author = {A. A. Vasil'eva},
journal= {arXiv preprint arXiv:2512.00620},
year = {2025}
}