Weak-type bounds for the Bergman projection with Bekoll\'e-Bonami weights
Functional Analysis
2025-11-20 v3
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 estimate, as well as sharp weak-type bounds for and mixed weighted weak-type inequalities. Our results, which hold for a wide class of simple domains in , are new even in the classical settings of the upper half-plane and the unit disk.
Keywords
Cite
@article{arxiv.2507.22363,
title = {Weak-type bounds for the Bergman projection with Bekoll\'e-Bonami weights},
author = {Jiale Chen and Zoe Nieraeth and Cody B. Stockdale and Nathan A. Wagner},
journal= {arXiv preprint arXiv:2507.22363},
year = {2025}
}