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Bibliographic Details
Main Authors: Chen, Jiale, Nieraeth, Zoe, Stockdale, Cody B., Wagner, Nathan A.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.22363
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Table of 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.