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Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-16
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The logarithmic Bloch space ℬlog is the Banach space of analytic functions on the open unit disk ? whose elements f satisfy the condition ∥f∥=sup z∈?(1-|z|2)log (2/(1-|z|2))|f′(z)|<∞.
In this work we characterize the bounded and the compact weighted composition operators from the Hardy space Hp (with 1≤p≤∞) into the logarithmic Bloch space.
We also provide boundedness and compactness criteria for the weighted composition operator mapping Hp into the little logarithmic Bloch space defined as the subspace of ℬlog consisting of the functions f such that lim |z|→1(1-|z|2)log (2/(1-|z|2))|f′(z)|=0.
American Psychological Association (APA)
Colonna, Flavia& Li, Songxiao. 2012. Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-994222
Modern Language Association (MLA)
Colonna, Flavia& Li, Songxiao. Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces. Journal of Function Spaces No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-994222
American Medical Association (AMA)
Colonna, Flavia& Li, Songxiao. Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-994222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994222