A sufficient condition for L p regularity of the Berezin transform

Creative Commons License

Göğüş N. G., Şahutoğlu S.

Complex Variables and Elliptic Equations, cilt.68, sa.8, ss.1419-1428, 2023 (SCI-Expanded) identifier identifier identifier

  • 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.