Hypercontractive inequalities and Nikol'ski\uı-type inequalities on weighted Bergman spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916746004267008 |
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| author | Wang, Zipeng Zhang, Kenan |
| author_facet | Wang, Zipeng Zhang, Kenan |
| contents | In this note, we obtianed hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikol'ski\uı-type inequalities for weighted Bergman spaces with optimal constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hypercontractive inequalities and Nikol'ski\uı-type inequalities on weighted Bergman spaces Wang, Zipeng Zhang, Kenan Functional Analysis Complex Variables 32A36, 30H20, 46E15 In this note, we obtianed hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikol'ski\uı-type inequalities for weighted Bergman spaces with optimal constants. |
| title | Hypercontractive inequalities and Nikol'ski\uı-type inequalities on weighted Bergman spaces |
| topic | Functional Analysis Complex Variables 32A36, 30H20, 46E15 |
| url | https://arxiv.org/abs/2505.12760 |