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, 1-10

Abstract:

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

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:983132

DOI: 10.1155/2008/983132

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