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

Muhammad Sarwar, Ghulam Murtaza and Irshaad Ahmed

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:621857

DOI: 10.1155/2014/621857

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