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The Essential Norm of Operators on Ap α(Bn)

Name: The Essential Norm of Operators on Ap α(Bn)
Keywords: Toeplitz Operators, https://purl.org/becyt/ford/1.1, Bergman Space, https://purl.org/becyt/ford/1

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 Argentina English Publisher:Birkhauser Verlag Ag

Authors: Mitkovski, Mishko; Suarez, Fernando Daniel; Wick, Brett D.;

handle: 11336/3305

The Essential Norm of Operators on Ap α(Bn)

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Abstract

Fil: Suarez, Fernando Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina

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

Fil: Wick, Brett D.. Georgia Institute Of Techology; Estados Unidos

Fil: Mitkovski, Mishko. Clemson University; Estados Unidos

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Argentina

Related Organizations

National Scientific and Technical Research Council
Argentina

Keywords

Toeplitz Operators, https://purl.org/becyt/ford/1.1, Bergman Space, https://purl.org/becyt/ford/1

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