Endpoint Estimates for Generalized Commutators of Hardy Operators on H1 Space
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the H1-boundedness of the generalized commutators of Hardy operator with a homogeneous 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 Rm(A;x,y)=A(x)-∑|α| We prove that, when m≥1, ℋΩ,A,βm is not bounded from H1 to Ln/(n-β) unless ℋΩ,A,βm≡0. Finally, we prove that ℋΩ,A,βm is bounded from H1 to Ln/(n-β),∞ with m≥1.
American Psychological Association (APA)
Yu, Xiao& Lu, Shan Zhen. 2013. Endpoint Estimates for Generalized Commutators of Hardy Operators on H1 Space. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1006086
Modern Language Association (MLA)
Yu, Xiao& Lu, Shan Zhen. Endpoint Estimates for Generalized Commutators of Hardy Operators on H1 Space. Journal of Function Spaces No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1006086
American Medical Association (AMA)
Yu, Xiao& Lu, Shan Zhen. Endpoint Estimates for Generalized Commutators of Hardy Operators on H1 Space. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1006086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006086