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2008 Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc
Zhong-Shan Fang, Ze-Hua Zhou
Abstr. Appl. Anal. 2008: 1-10 (2008). DOI: 10.1155/2008/983132

Abstract

This paper gives some estimates of the essential norm for the difference of composition operators induced by φ and ψ acting on the space, H ( D n ) , of bounded analytic functions on the unit polydisc D n , where φ and ψ are holomorphic self-maps of D n . As a consequence, one obtains conditions in terms of the Carathéodory distance on D n that characterizes those pairs of holomorphic self-maps of the polydisc for which the difference of two composition operators on H ( D n ) is compact.

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Zhong-Shan Fang. Ze-Hua Zhou. "Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc." Abstr. Appl. Anal. 2008 1 - 10, 2008. https://doi.org/10.1155/2008/983132

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1160.32009
MathSciNet: MR2466222
Digital Object Identifier: 10.1155/2008/983132

Rights: Copyright © 2008 Hindawi

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