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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.00620 |
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| _version_ | 1866915645206036480 |
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| author | Vasil'eva, A. A. |
| author_facet | Vasil'eva, A. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Widths and entropy numbers of embeddings of Sobolev classes on a Hölder domain Vasil'eva, A. A. Functional Analysis 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. |
| title | Widths and entropy numbers of embeddings of Sobolev classes on a Hölder domain |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.00620 |