Compactification and decompactification by weights on Bergman spaces

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodriguez-Piazza, Luis

Document type :

Pré-publication ou Document de travail

Title :

Compactification and decompactification by weights on Bergman spaces

Author(s) :

Lefèvre, Pascal [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Li, Daniel [Auteur correspondant]
Université d'Artois [UA]
Queffélec, Hervé [Auteur]
Université de Lille
Rodriguez-Piazza, Luis [Auteur]
Universidad de Sevilla = University of Seville

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

We characterize the symbols ϕ for which there exists a weight w such that the weighted composition operator M w C ϕ is compact on the weighted Bergman space B 2 α. We also characterize the symbols for which there exists a ...
Show more >We characterize the symbols ϕ for which there exists a weight w such that the weighted composition operator M w C ϕ is compact on the weighted Bergman space B 2 α. We also characterize the symbols for which there exists a weight w such that M w C ϕ is bounded but not compact. We also investigate when there exists w such that M w C ϕ is Hilbert-Schmidt on B 2 α.Show less >

Language :

Anglais

ANR Project :

Frontières de la théorie des opérateurs

Collections :