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arXiv · 2512.00620

Widths and entropy numbers of embeddings of Sobolev classes on a Hölder domain

A. A. Vasil'eva
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Abstract

In the present paper we improve Besov's recent result about upper estimates for the entropy numbers of Sobolev classes on a Hölder domain (in the case when the definition of the Sobolev class involves all partial derivatives of order $r$). We also obtain upper estimates for the Kolmogorov, linear and the Gelfand widths.

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A. A. Vasil'eva. 2025-11-29. Widths and entropy numbers of embeddings of Sobolev classes on a Hölder domain. https://arxiv.org/abs/2512.00620

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