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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2013
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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 |
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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 |