Unbounded Bergman projections on weighted spaces with respect to exponential weights
type: Item
instance of: scholarly article
title: Unbounded Bergman projections on weighted spaces with respect to exponential weights
author: Wolfgang Lusky
author: J. Taskinen
author: José Bonet
published in: Integral Equations and Operator Theory
publication date: 2021-12-15T00:00:00Z
review text: The paper studies the boundedness/unboundedness of Bergman type projections on weighted Bergman spaces of the unit disk. The weights are ``rapidly decreasing'' near the boundary and the resulting spaces are ``large Bergman spaces''. The main result is that the Bergman type projections are bounded on \(L^p\) for \(p\not=2\) only in exceptional cases; they are unbounded in general.
Mathematics Subject Classification ID: 47B91
Mathematics Subject Classification ID: 30H20
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 47B34
zbMATH DE Number: 7445579
zbMATH Keywords: Bergman projection
zbMATH Keywords: weighted Bergman spaces
zbMATH Keywords: exponential weights
zbMATH Keywords: reproducing kernel
Wikidata QID: Q115609520
reviewed by: Kehe Zhu
MaRDI profile type: Publication
full work available at URL: s00020-021-02680-2
OpenAlex ID: W3217101965
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DOI: 10.1007/S00020-021-02680-2
description: scientific article; zbMATH DE number 7445579