Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let L be the infinitesimal generator of an analytic semigroup on L2(Rn) with Gaussian kernel bounds, and let L-α/2 be the fractional integrals of L for 0<α For any locally integrable function b, the commutators associated with L-α/2 are defined by [b,L-α/2](f)(x)=b(x)L-α/2(f)(x)-L-α/2(bf)(x). When b∈BMO(ω) (weighted BMO space) or b∈BMO, the authors obtain the necessary and sufficient conditions for the boundedness of [b,L-α/2] on weighted Morrey spaces, respectively.
American Psychological Association (APA)
Wang, Zhiheng& Si, Zengyan. 2014. Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013891
Modern Language Association (MLA)
Wang, Zhiheng& Si, Zengyan. Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013891
American Medical Association (AMA)
Wang, Zhiheng& Si, Zengyan. Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013891
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013891