TITLE

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

AUTHOR(S)
Zhong-Shan Fang; Ze-Hua Zhou
PUB. DATE
January 2008
SOURCE
Abstract & Applied Analysis;2008, p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
This paper gives some estimates of the essential norm for the difference of composition operators induced by Ï† and Ï† acting on the space, Hâˆž(Dn), of bounded analytic functions on the unit polydisc DE;n, where Ï† and Ï† are holomorphic self-maps of Dn. As a consequence, one obtains conditions in terms of the CarathÃ©odory distance on Dn that characterizes those pairs of holomorphic self-maps of the polydisc for which the difference of two composition operators on Hâˆž(Dn) is compact.
ACCESSION #
36264805

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