Riemann‐Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces

Muhammad Sarwar, Ghulam Murtaza and Irshaad Ahmed

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: One‐weight inequalities with general weights for Riemann‐Liouville transform and n‐dimensional fractional integral operator in variable exponent Lebesgue spaces defined on Rn 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 Lp(x) spaces.

Date: 2014
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https://doi.org/10.1155/2014/621857

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:621857

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