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2009 On the Norm of Certain Weighted Composition Operators on the Hardy Space
M. Haji Shaabani, B. Khani Robati
Abstr. Appl. Anal. 2009: 1-13 (2009). DOI: 10.1155/2009/720217

Abstract

We obtain a representation for the norm of certain compact weighted composition operator Cψ,φ on the Hardy space H2, whenever φ(z)=az+b and ψ(z)=azb. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on φ and ψ. Moreover, we characterize the norm and essential norm of such operators in a special case.

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M. Haji Shaabani. B. Khani Robati. "On the Norm of Certain Weighted Composition Operators on the Hardy Space." Abstr. Appl. Anal. 2009 1 - 13, 2009. https://doi.org/10.1155/2009/720217

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1176.47023
MathSciNet: MR2533571
Digital Object Identifier: 10.1155/2009/720217

Rights: Copyright © 2009 Hindawi

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