A sufficient condition for L p regularity of the Berezin transform

G&amp;amp;#x00F6;&amp;amp;#x011F;&amp;amp;#x00FC;&amp;amp;#x015F;, Nihat; Şahuto&amp;amp;#x11f;lu, Sönmez

doi:10.1080/17476933.2022.2052864

A sufficient condition for L p regularity of the Berezin transform

G&amp;#x00F6;&amp;#x011F;&amp;#x00FC;&amp;#x015F; N. G., Şahuto&amp;#x11f;lu S.

Complex Variables and Elliptic Equations, vol.68, no.8, pp.1419-1428, 2023 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 68 Issue: 8
Publication Date: 2023
Doi Number: 10.1080/17476933.2022.2052864
Journal Name: Complex Variables and Elliptic Equations
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
Page Numbers: pp.1419-1428
Keywords: 32A25, 47G35, Berezin transform, Bergman kernel, Hartogs triangle, pseudoconvex, sharp -type
Open Archive Collection: AVESIS Open Access Collection
Istanbul University Affiliated: Yes

Abstract

We prove that the Berezin transform is (Formula presented.) regular on a large class of domains in (Formula presented.) and not (Formula presented.) regular on the Hartogs triangle.