Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces
Joint Authors
Sehba, Benoît
Charpentier, Stéphane
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-08
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We characterize those measures μ for which the Hardy-Orlicz (resp., weighted Bergman-Orlicz) space HΨ1 (resp., AαΨ1) of the unit ball of CN embeds boundedly or compactly into the Orlicz space LΨ2(BN¯,μ) (resp., LΨ2(BN,μ)), when the defining functions Ψ1 and Ψ2 are growth functions such that L1⊂LΨj for j∈{1,2}, and such that Ψ2/Ψ1 is nondecreasing.
We apply our result to the characterization of the boundedness and compactness of composition operators from HΨ1 (resp., AαΨ1) into HΨ2 (resp., AαΨ2).
American Psychological Association (APA)
Charpentier, Stéphane& Sehba, Benoît. 2012. Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-498515
Modern Language Association (MLA)
Charpentier, Stéphane& Sehba, Benoît. Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-498515
American Medical Association (AMA)
Charpentier, Stéphane& Sehba, Benoît. Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-498515
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498515