Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc

Zhong-Shan Fang and Ze-Hua Zhou

Abstract and Applied Analysis, 2008, vol. 2008, issue 1

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∞(Dn), of bounded analytic functions on the unit polydisc Dn, where φ and ψ are holomorphic self‐maps of Dn. As a consequence, one obtains conditions in terms of the Carathéodory distance on Dn that characterizes those pairs of holomorphic self‐maps of the polydisc for which the difference of two composition operators on H∞(Dn) is compact.

Date: 2008
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https://doi.org/10.1155/2008/983132

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:983132

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