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
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper gives some estimates of the essential norm for the difference of composition operators induced by φ and φ acting on the space, H∞(Dn), of bounded analytic functions on the unit polydisc DE;n, where φ and φ 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.
ACCESSION #
36264805

 

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