On the regularity of generic Hausdorff-type transformations
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918112264192000 |
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| author | Mirotin, A. R. |
| author_facet | Mirotin, A. R. |
| contents | The general notion of a Hausdorff-type operator with a kernel depending on an external variable is introduced and generalizations and analogs of classical results on the regularity of various summation methods are proved for the case of such operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01452 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the regularity of generic Hausdorff-type transformations Mirotin, A. R. Functional Analysis 40C10 (Primary) 43A55, 47G10, 45P05, 47B38 (Secondary) The general notion of a Hausdorff-type operator with a kernel depending on an external variable is introduced and generalizations and analogs of classical results on the regularity of various summation methods are proved for the case of such operators. |
| title | On the regularity of generic Hausdorff-type transformations |
| topic | Functional Analysis 40C10 (Primary) 43A55, 47G10, 45P05, 47B38 (Secondary) |
| url | https://arxiv.org/abs/2508.01452 |