A sufficient condition for L p regularity of the Berezin transform

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Göğüş N. G., Şahutoğlu S.

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

  • 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.