Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball

Some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions are obtained. For these we characterize bounded and compact Toeplitz operators between weighted Bergman spaces. The above results are applied to characterize bounded and compac...

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Detalles Bibliográficos
Autores: Pau, Jordi, Zhao, Ruhan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/96821
Acceso en línea:https://hdl.handle.net/2445/96821
Access Level:acceso abierto
Palabra clave:Funcions de diverses variables complexes
Espais analítics
Funcions holomorfes
Teoria d'operadors
Operadors lineals
Functions of several complex variables
Analytic spaces
Holomorphic functions
Operator theory
Linear operators
Descripción
Sumario:Some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions are obtained. For these we characterize bounded and compact Toeplitz operators between weighted Bergman spaces. The above results are applied to characterize bounded and compact extended Cesàro operators and pointwise multiplication operators. The results are new even in the case of the unit disk.