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, cilt.68, sa.8, ss.1419-1428, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 68 Sayı: 8
Basım Tarihi: 2023
Doi Numarası: 10.1080/17476933.2022.2052864
Dergi Adı: Complex Variables and Elliptic Equations
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
Sayfa Sayıları: ss.1419-1428
Anahtar Kelimeler: 32A25, 47G35, Berezin transform, Bergman kernel, Hartogs triangle, pseudoconvex, sharp -type
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
İstanbul Üniversitesi Adresli: Evet

Özet

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.