Contraction property on complex hyperbolic ball
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929684919353344 |
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| author | Li, Xiaoshan Su, Guicong |
| author_facet | Li, Xiaoshan Su, Guicong |
| contents | We prove an isoperimetric inequalitie on the complex hyperbolic ball with Assumption \ref{assumption}}. As an application, we prove a contraction property for the holomorphic functions in Hardy and weighted Bergman spaces on the complex hyperbolic ball with this assumption. The results can be seen as partial generalization of Kulikov's result on the complex hyperbolic plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contraction property on complex hyperbolic ball Li, Xiaoshan Su, Guicong Complex Variables We prove an isoperimetric inequalitie on the complex hyperbolic ball with Assumption \ref{assumption}}. As an application, we prove a contraction property for the holomorphic functions in Hardy and weighted Bergman spaces on the complex hyperbolic ball with this assumption. The results can be seen as partial generalization of Kulikov's result on the complex hyperbolic plane. |
| title | Contraction property on complex hyperbolic ball |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2411.01911 |