Compactification and decompactification by weights on Bergman spaces

We characterize the symbols φ for which there exists a weight w such that the weighted composition operator MwCφ is compact on the weighted Bergman space Bα2. We also characterize the symbols for which there exists a weight w such that MwCφ is bounded but not compact. We also investigate when there...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 513; no. 2; p. 126212
Main Authors Lefèvre, Pascal, Li, Daniel, Queffélec, Hervé, Rodríguez-Piazza, Luis
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.09.2022
Subjects
Compactification
Composition operator
Decompactification
Hilbert-Schmidt operator
Weighted Bergman space
Weighted composition operator
Decompactification
Weighted composition operator
Compactification
Weighted Bergman space
Composition operator
Hilbert-Schmidt operator
Online AccessGet full text
ISSN0022-247X
1096-0813
DOI10.1016/j.jmaa.2022.126212

Cover

More Information
Summary:We characterize the symbols φ for which there exists a weight w such that the weighted composition operator MwCφ is compact on the weighted Bergman space Bα2. We also characterize the symbols for which there exists a weight w such that MwCφ is bounded but not compact. We also investigate when there exists w such that MwCφ is Hilbert-Schmidt on Bα2.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126212