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A Weighted Variant of Riemann‐Liouville Fractional Integrals on ℝn

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Fu, Zun Wei; Lu, Shan Zhen; Yuan, Wen;

doi: 10.1155/2012/780132

A Weighted Variant of Riemann‐Liouville Fractional Integrals on ℝn

Abstract

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.

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Keywords

QA1-939, Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
gold