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QK Spaces on the Unit Circle
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We introduce a new space QK(∂D) of Lebesgue measurable functions on the unit circle connecting closely with the Sobolev space.
We obtain a necessary and sufficient condition on K such that QK(∂D)=BMO(∂D), as well as a general criterion on weight functions K1 and K2, K1≤K2, such that QK1(∂D)QK2(∂D).
We also prove that a measurable function belongs to QK(∂D) if and only if it is Möbius bounded in the Sobolev space LK2(∂D).
Finally, we obtain a dyadic characterization of functions in QK(∂D) spaces in terms of dyadic arcs on the unit circle.
American Psychological Association (APA)
Zhou, Jizhen. 2014. QK Spaces on the Unit Circle. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040623
Modern Language Association (MLA)
Zhou, Jizhen. QK Spaces on the Unit Circle. Journal of Function Spaces No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1040623
American Medical Association (AMA)
Zhou, Jizhen. QK Spaces on the Unit Circle. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040623
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040623