A B\'{e}koll\`{e}-Bonami Class of Weights for Certain Pseudoconvex Domains
Complex Variables
2023-10-18 v3
Abstract
We prove the weighted regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the B\'{e}koll\`{e}-Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and B\'{e}koll\`{e}'s original approach of proving a good-lambda inequality.
Keywords
Cite
@article{arxiv.2001.08302,
title = {A B\'{e}koll\`{e}-Bonami Class of Weights for Certain Pseudoconvex Domains},
author = {Zhenghui Huo and Nathan A. Wagner and Brett D. Wick},
journal= {arXiv preprint arXiv:2001.08302},
year = {2023}
}
Comments
24 pages