On boundedness of Hausdorff-type operators on Sobolev spaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916288744390656 |
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| author | Mirotin, A. R. |
| author_facet | Mirotin, A. R. |
| contents | A new notion of a Hausdorff-type operator on function spaces over domains in Euclidean spaces is introduced, and a sufficient condition for the boundedness of this operator on Sobolev spaces is proved. It is shown that this condition cannot be weakened in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10668 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On boundedness of Hausdorff-type operators on Sobolev spaces Mirotin, A. R. Functional Analysis 44A05, 44A30, 42B35, 47G10 A new notion of a Hausdorff-type operator on function spaces over domains in Euclidean spaces is introduced, and a sufficient condition for the boundedness of this operator on Sobolev spaces is proved. It is shown that this condition cannot be weakened in general. |
| title | On boundedness of Hausdorff-type operators on Sobolev spaces |
| topic | Functional Analysis 44A05, 44A30, 42B35, 47G10 |
| url | https://arxiv.org/abs/2406.10668 |