Riemann-Liouville and higher dimensional Hardy operators for nonnegative decreasing function in \(L^{p(\cdot)}\) spaces (Q1724555)

Summary: One-weight inequalities with general weights for Riemann-Liouville transform and \(n\)-dimensional fractional integral operator in variable exponent Lebesgue spaces defined on \(\mathbb{R}^n\) 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 \(L^{p(x)}\) spaces.