Young's inequality for Banach function spaces and its application to the maximal regularity estimate
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918136396120064 |
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| author | Nogayama, Toru |
| author_facet | Nogayama, Toru |
| contents | The goal of this paper is to give the necessary and sufficient condition for Banach function spaces on which Young's inequality holds. As an application, we consider the maximal regularity estimate of heat equations for Besov spaces associated with Banach function spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Young's inequality for Banach function spaces and its application to the maximal regularity estimate Nogayama, Toru Functional Analysis Classical Analysis and ODEs The goal of this paper is to give the necessary and sufficient condition for Banach function spaces on which Young's inequality holds. As an application, we consider the maximal regularity estimate of heat equations for Besov spaces associated with Banach function spaces. |
| title | Young's inequality for Banach function spaces and its application to the maximal regularity estimate |
| topic | Functional Analysis Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2509.05252 |