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Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc
Joint Authors
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-01-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fang, Zhong-Shan& Zhou, Ze-Hua. 2009. Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-513460
Modern Language Association (MLA)
Fang, Zhong-Shan& Zhou, Ze-Hua. Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc. Abstract and Applied Analysis No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-513460
American Medical Association (AMA)
Fang, Zhong-Shan& Zhou, Ze-Hua. Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc. Abstract and Applied Analysis. 2009. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-513460
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513460