Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The authors consider the generalized commutator of fractional Hardy operator with a rough kernel as follows: ℋΩ,A,βmf(x)=1/(|x|n-β)∫|y|<|x|(Ω(x-y)/|x-y|m-1)Rm(A;x,y)f(y)dy, where Ω∈Lr(?n-1), 0≤β The authors prove that ℋΩ,A,βm is bounded on Herz type space and λ-Central Morrey space with m≥1, which is an open problem for m>2.
American Psychological Association (APA)
Yu, Xiao& Lu, Shan Zhen. 2013. Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-471768
Modern Language Association (MLA)
Yu, Xiao& Lu, Shan Zhen. Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-471768
American Medical Association (AMA)
Yu, Xiao& Lu, Shan Zhen. Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-471768
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471768