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Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Spaces

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  • Muhammad Sarwar
  • Ghulam Murtaza
  • Irshaad Ahmed

Abstract

One-weight inequalities with general weights for Riemann-Liouville transform and -dimensional fractional integral operator in variable exponent Lebesgue spaces defined on are investigated. In particular, we derive necessary and sufficient conditions governing one-weight inequalities for these operators on the cone of nonnegative decreasing functions in spaces.

Suggested Citation

  • Muhammad Sarwar & Ghulam Murtaza & Irshaad Ahmed, 2014. "Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, August.
    • Handle: RePEc:hin:jnlaaa:621857
    DOI: 10.1155/2014/621857
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