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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22363 |
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| _version_ | 1866908664407785472 |
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| author | Chen, Jiale Nieraeth, Zoe Stockdale, Cody B. Wagner, Nathan A. |
| author_facet | Chen, Jiale Nieraeth, Zoe Stockdale, Cody B. Wagner, Nathan A. |
| contents | We establish weighted weak-type bounds for the Bergman projection with respect to Bekollé-Bonami characteristics. We present two proofs of an improved quantitative weak-type $(1,1)$ estimate, as well as sharp weak-type $(p,p)$ bounds for $p>1$ and mixed weighted weak-type $(1,1)$ inequalities. Our results, which hold for a wide class of simple domains in $\mathbb{C}^n$, are new even in the classical settings of the upper half-plane and the unit disk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak-type bounds for the Bergman projection with Bekollé-Bonami weights Chen, Jiale Nieraeth, Zoe Stockdale, Cody B. Wagner, Nathan A. Functional Analysis We establish weighted weak-type bounds for the Bergman projection with respect to Bekollé-Bonami characteristics. We present two proofs of an improved quantitative weak-type $(1,1)$ estimate, as well as sharp weak-type $(p,p)$ bounds for $p>1$ and mixed weighted weak-type $(1,1)$ inequalities. Our results, which hold for a wide class of simple domains in $\mathbb{C}^n$, are new even in the classical settings of the upper half-plane and the unit disk. |
| title | Weak-type bounds for the Bergman projection with Bekollé-Bonami weights |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2507.22363 |