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arXiv · 2507.22363

Weak-type bounds for the Bergman projection with Bekoll\'e-Bonami weights

Jiale Chen·Zoe Nieraeth·Cody B. Stockdale·Nathan A. Wagner
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Abstract

We establish weighted weak-type bounds for the Bergman projection with respect to Bekoll\'e-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.

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Jiale Chen, Zoe Nieraeth, Cody B. Stockdale, Nathan A. Wagner. 2025-07-30. Weak-type bounds for the Bergman projection with Bekoll\'e-Bonami weights. https://arxiv.org/abs/2507.22363

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