The Essential Norm of Operators on Apα(Bn)

In this paper we characterize the compact operators on the weighted Bergman spaces Apα(Bn) when 1 < p < ∞ and α > -1. The main result shows that an operator on Apα(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary...

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Detalles Bibliográficos
Publicado: 2013
Materias:
Berezin transform
Bergman space
compact operators
essential norm
Toeplitz algebra
Toeplitz operator
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v75_n2_p197_Mitkovski
http://hdl.handle.net/20.500.12110/paper_0378620X_v75_n2_p197_Mitkovski
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0378620X_v75_n2_p197_Mitkovski
record_format dspace
spelling paper:paper_0378620X_v75_n2_p197_Mitkovski2023-06-08T15:40:26Z The Essential Norm of Operators on Apα(Bn) Berezin transform Bergman space compact operators essential norm Toeplitz algebra Toeplitz operator In this paper we characterize the compact operators on the weighted Bergman spaces Apα(Bn) when 1 < p < ∞ and α > -1. The main result shows that an operator on Apα(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball. © 2012 Springer Basel. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v75_n2_p197_Mitkovski http://hdl.handle.net/20.500.12110/paper_0378620X_v75_n2_p197_Mitkovski
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Berezin transform
Bergman space
compact operators
essential norm
Toeplitz algebra
Toeplitz operator
spellingShingle Berezin transform
Bergman space
compact operators
essential norm
Toeplitz algebra
Toeplitz operator
The Essential Norm of Operators on Apα(Bn)
topic_facet Berezin transform
Bergman space
compact operators
essential norm
Toeplitz algebra
Toeplitz operator
description In this paper we characterize the compact operators on the weighted Bergman spaces Apα(Bn) when 1 < p < ∞ and α > -1. The main result shows that an operator on Apα(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball. © 2012 Springer Basel.
title The Essential Norm of Operators on Apα(Bn)
title_short The Essential Norm of Operators on Apα(Bn)
title_full The Essential Norm of Operators on Apα(Bn)
title_fullStr The Essential Norm of Operators on Apα(Bn)
title_full_unstemmed The Essential Norm of Operators on Apα(Bn)
title_sort essential norm of operators on apα(bn)
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v75_n2_p197_Mitkovski
http://hdl.handle.net/20.500.12110/paper_0378620X_v75_n2_p197_Mitkovski
_version_ 1768545650234884096

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