Boundedness of Riemann-Liouville Fractional Integral Operator in Morrey Spaces

Abstract

The aim of the present paper is to prove the boundedness of the multidimensional Riemann-Liouville operator from the quasi-normed Morrey space Mλp(Ω) to another quasi-normed Morrey space Mµq(Ω) and to estimate the dependence of the norm of this operator on Ω.