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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.10464 |
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| _version_ | 1866908957299179520 |
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| author | Li, Yuerang Wang, Zipeng |
| author_facet | Li, Yuerang Wang, Zipeng |
| contents | We establish a converse of the Shimorin--Peláez--Rättyä--Wick theorem. Specifically, we obtain necessary and sufficient conditions for a Shimorin kernel to be the kernel of a radial, logarithmically subharmonic weighted Bergman space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10464 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the converse of the Shimorin--Peláez--Rättyä--Wick theorem Li, Yuerang Wang, Zipeng Complex Variables Functional Analysis We establish a converse of the Shimorin--Peláez--Rättyä--Wick theorem. Specifically, we obtain necessary and sufficient conditions for a Shimorin kernel to be the kernel of a radial, logarithmically subharmonic weighted Bergman space. |
| title | On the converse of the Shimorin--Peláez--Rättyä--Wick theorem |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2604.10464 |