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

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  • Zun Wei Fu
  • Shan Zhen Lu
  • Wen Yuan

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.

Suggested Citation

  • Zun Wei Fu & Shan Zhen Lu & Wen Yuan, 2012. "A Weighted Variant of Riemann-Liouville Fractional Integrals on â„ ð ‘›," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, September.
    • Handle: RePEc:hin:jnlaaa:780132
    DOI: 10.1155/2012/780132
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