A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn
Joint Authors
Yuan, Wen
Fu, Zun Wei
Lu, Shan Zhen
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-12
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces.
Moreover, we establish a sufficient and necessary condition of the weight functions so that commutators of weighted Hardy operators (with symbols in λ-central BMO space) are bounded on the central Morrey spaces.
These results are further used to prove sharp estimates of some inequalities due to Weyl and Cesàro.
American Psychological Association (APA)
Fu, Zun Wei& Lu, Shan Zhen& Yuan, Wen. 2012. A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-497387
Modern Language Association (MLA)
Fu, Zun Wei…[et al.]. A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn. Abstract and Applied Analysis No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-497387
American Medical Association (AMA)
Fu, Zun Wei& Lu, Shan Zhen& Yuan, Wen. A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-497387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497387