Boundedness of Riemann–Liouville fractional integral operator in Morrey spaces

The aim of the present paper is to prove the boundedness of the multidimensional Riemann–Liouville operator from the quasi-normed Morrey space $M_p^\lambda(\Omega)$ to another quasi-normed Morrey space $M_q^\mu(\Omega)$ and to estimate the dependence of the norm of this operator on $\Omega$.