A remark on Schatten class Toeplitz operators on Bergman spaces

We provide a new characterization (valid for all $0 <p<\infty$) of Schatten class membership of Toeplitz operators induced by positive measures acting on weighted Bergman spaces on the unit ball. The result is new even for the case of the unit disk.

Detalhes bibliográficos
Autor: Pau, Jordi
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/96745
Acesso em linha:https://hdl.handle.net/2445/96745
Access Level:acceso abierto
Palavra-chave:Funcions holomorfes
Funcions de diverses variables complexes
Teoria d'operadors
Operadors lineals
Holomorphic functions
Functions of several complex variables
Operator theory
Linear operators
Descrição
Resumo:We provide a new characterization (valid for all $0 <p<\infty$) of Schatten class membership of Toeplitz operators induced by positive measures acting on weighted Bergman spaces on the unit ball. The result is new even for the case of the unit disk.