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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Sumario: | 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. |
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