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.

Bibliographic Details
Author: Pau, Jordi
Format: article
Status:Versión aceptada para publicación
Publication Date:2014
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/96745
Online Access:https://hdl.handle.net/2445/96745
Access Level:Open access
Keyword:Funcions holomorfes
Funcions de diverses variables complexes
Teoria d'operadors
Operadors lineals
Holomorphic functions
Functions of several complex variables
Operator theory
Linear operators
Description
Summary: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.