A Weighted Variant of Riemann-Liouville Fractional Integrals on â„ ð ‘›

Zun Wei Fu, Shan Zhen Lu and Wen Yuan

Abstract and Applied Analysis, 2012, vol. 2012, 1-18

Abstract:

We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℠𠑛 and obtain its sharp bounds on the central Morrey and 𠜆 -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 𠜆 -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 Cesà ro.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:780132

DOI: 10.1155/2012/780132

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