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Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane
Author
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-04-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Here we introduce the nth weighted space on the upper half-plane Π+={z∈ℂ:Im z>0} in the complex plane ℂ.
For the case n=2, we call it the Zygmund-type space, and denote it by ?(Π+).
The main result of the paper gives some necessary and sufficient conditions for the boundedness of the composition operator Cφf(z)=f(φ(z)) from the Hardy space Hp(Π+) on the upper half-plane, to the Zygmund-type space, where φ is an analytic self-map of the upper half-plane.
American Psychological Association (APA)
Stevic, Stevo. 2009. Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-450748
Modern Language Association (MLA)
Stevic, Stevo. Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane. Abstract and Applied Analysis No. 2009 (2009), pp.1-8.
https://search.emarefa.net/detail/BIM-450748
American Medical Association (AMA)
Stevic, Stevo. Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-450748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450748