Riemann-Liouville and higher dimensional Harday operators for non-negative decreasing function in L^p(⋅) spaces

2014/03/05 by Ghulam Murtaza, Murtaza, Ghulam, Muhammad Sarwar +1
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Approximation and Integration #Nonlinear Partial Differential Equations #math.FA #msc:42B20 #msc:42B25 #msc:46E30

paper · pdf · doi:10.48550/arxiv.1403.1033

arxiv created 2014/03/05 · arxiv updated 2014/03/06

Abstract

In this paper 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 non-negative decreasing functions in L^p(x) spaces.

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