Besov spaces and Bergman projections on the ball
type: Item
instance of: scholarly article
title: Besov spaces and Bergman projections on the ball
zbMATH Open document ID: 1029.32002
DOI: 10.1016/S1631-073X(02)02556-6
author: H. Turgay Kaptanoğlu
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-05-27T00:00:00Z
review text: The author announces without proof the following results on the unit ball of \(\mathbb C^n\); (i) A new definition that characterizes the so-called diagonal Besov spaces on the ball, (ii) Criteria for the boundedness of Bergman type projections from certain weighted \(L^p\) spaces onto Besov spaces, (iii) Construction of right inverses for those Bergman type projections, (iv) Dualities between the Besov spaces, and (v) Complex interpolation spaces of the Besov spaces.
reviewed by: Boo Rim Choe
Mathematics Subject Classification ID: 32A36
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32A37
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 1921067
zbMATH Keywords: weighted Bergman spaces
zbMATH Keywords: Besov spaces
zbMATH Keywords: Bergman projections
zbMATH Keywords: unit ball of \(\mathbb C^n\)
zbMATH Keywords: diagonal Besov spaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1921067