A Bekolle-Bonami Class of Weights for Certain Pseudoconvex Domains

We prove the weighted L-p regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Bekolle-Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and Bekolle's original approach of proving a good-lambda inequality.

Automated summary

The paper demonstrates the weighted L-p regularity of the ordinary Bergman projection on certain pseudoconvex domains, where the weight belongs to an appropriate generalization of the Bekolle-Bonami class. The main tools used in the proof are estimates on the Bergman kernel obtained through McNeal and Bekolle's original approach of proving a good-lambda inequality.