Da Lio-Rivière-Wettstein-type inequality for weighted Bergman spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866909602769010688 |
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| author | Han, Yong Qiu, Yanqi Wang, Zipeng |
| author_facet | Han, Yong Qiu, Yanqi Wang, Zipeng |
| contents | In this paper, inspired by the work of Da Lio-Rivière-Wettstein, we investigate the boundary-value characterizations of weighted Bergman spaces and establish a weighted Da Lio-Rivière-Wettstein inequality. In addition, we obtain analogous results on the upper plane which does not seem to be a direct consequence of the ones on the unit disk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10950 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Da Lio-Rivière-Wettstein-type inequality for weighted Bergman spaces Han, Yong Qiu, Yanqi Wang, Zipeng Complex Variables Analysis of PDEs Functional Analysis In this paper, inspired by the work of Da Lio-Rivière-Wettstein, we investigate the boundary-value characterizations of weighted Bergman spaces and establish a weighted Da Lio-Rivière-Wettstein inequality. In addition, we obtain analogous results on the upper plane which does not seem to be a direct consequence of the ones on the unit disk. |
| title | Da Lio-Rivière-Wettstein-type inequality for weighted Bergman spaces |
| topic | Complex Variables Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2111.10950 |