Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces

We give necessary and sufficient conditions for the boundedness of generalized fractional integral maximal operators on Orlicz–Morrey weak spaces. To do this, we prove weak–weak type modular inequality Hardy–Littlewood operator with respect to Young function. spaces contain L p $L^p$ ( 1 ≤ ∞ $1\le p\le \infty$ ), Orlicz spaces, Morrey as special cases. Hence, get these function corollaries.