On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains

TL;DR

This paper extends the understanding of Bergman type projections by proving their boundedness in new analytic function spaces within bounded strongly pseudoconvex domains, generalizing known results from the unit disk.

Contribution

It establishes the boundedness of Bergman type projections in novel analytic function spaces in strongly pseudoconvex domains, broadening prior results from the unit disk.

Findings

Boundedness of Bergman projections in new function spaces

Extension of classical results to strongly pseudoconvex domains

Generalization from the unit disk to higher-dimensional domains

Abstract

We prove the boundedness of Bergman type projections in two different analytic function spaces in bounded strongly pseudoconvex domains with the smooth boundary. Our results were previously well-known in the case of the unit disk.