$L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles

TL;DR

This paper studies the boundedness of the Bergman projection on generalized Hartogs triangles in complex spaces, providing optimal estimates for its mapping properties on these domains.

Contribution

It introduces two classes of generalized Hartogs triangle domains and establishes optimal bounds for the Bergman projection's mapping properties on them.

Findings

Optimal estimates for Bergman projection on generalized Hartogs triangles

Extension of boundedness results to new classes of complex domains

Enhanced understanding of projection behavior in complex analysis

Abstract

In this paper we investigate a two classes of domains in $\mathbb{C}^n$ generalizing the Hartogs triangle. We prove optimal estimates for the mapping properties of the Bergman projection on these domains.