On the dimension of Bergman spaces on $\mathbb{P}^1$
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909188197711872 |
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| author | Gallagher, Anne-Katrin Gupta, Purvi Vivas, Liz |
| author_facet | Gallagher, Anne-Katrin Gupta, Purvi Vivas, Liz |
| contents | Inspired by a result by Szőke, we give potential-theoretic characterizations of the dimension of the Bergman space of holomorphic sections of a restriction of a holomorphic line bundle of $\mathbb{P}^1$ to some open set $D\subset\mathbb{P}^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_02324 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the dimension of Bergman spaces on $\mathbb{P}^1$ Gallagher, Anne-Katrin Gupta, Purvi Vivas, Liz Complex Variables 32A36, 32L05, 30F99 Inspired by a result by Szőke, we give potential-theoretic characterizations of the dimension of the Bergman space of holomorphic sections of a restriction of a holomorphic line bundle of $\mathbb{P}^1$ to some open set $D\subset\mathbb{P}^1$. |
| title | On the dimension of Bergman spaces on $\mathbb{P}^1$ |
| topic | Complex Variables 32A36, 32L05, 30F99 |
| url | https://arxiv.org/abs/2110.02324 |