Duality and Interpolation of Bergman Spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910452699627520 |
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| author | Bhat, Shreedhar |
| author_facet | Bhat, Shreedhar |
| contents | This paper explores the dual space corresponding to p-Bergman space and examines the essential condition for the dual space to be a q-Bergman space. The investigation involves a detailed examination of the interpolation space of a Banach couple. Additionally, we draw comparisons between the `duality', `integrability' and `regularity' properties of a domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Duality and Interpolation of Bergman Spaces Bhat, Shreedhar Complex Variables 32A36 (Primary) 32C37, 46B70(Secondary) This paper explores the dual space corresponding to p-Bergman space and examines the essential condition for the dual space to be a q-Bergman space. The investigation involves a detailed examination of the interpolation space of a Banach couple. Additionally, we draw comparisons between the `duality', `integrability' and `regularity' properties of a domain. |
| title | Duality and Interpolation of Bergman Spaces |
| topic | Complex Variables 32A36 (Primary) 32C37, 46B70(Secondary) |
| url | https://arxiv.org/abs/2405.11113 |