On regularity of the Berezin transform on smooth pseudoconvex domains

TL;DR

This paper improves existing results on the regularity properties of the Berezin transform within smooth pseudoconvex domains, advancing understanding of its behavior in complex analysis.

Contribution

It provides enhanced regularity results for the Berezin transform on a specific class of smooth pseudoconvex domains, refining prior findings.

Findings

Improved regularity conditions for the Berezin transform.

Extended applicability to broader classes of pseudoconvex domains.

Refined mathematical techniques for analyzing the Berezin transform.

Abstract

In this short note we improve some of recent results of Cuckovic and Sahutoglu concerning regularity of the Berezin transform for a class of smooth pseudoconvex domains.