A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn

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...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2012; no. 2012; pp. 1 - 18
Main Authors Fu, Zun Wei, Lu, Shan Zhen, Yuan, Wen
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Puplishing Corporation 01.01.2012
Hindawi Publishing Corporation
Wiley
Subjects
Commutators
Estimates
Inequalities
Integrals
Operators
Symbols
Weight function
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/780132