Resumen de Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces

Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano

• In the present paper, we shall give a necessary and sufficient condition for the weak/strong boundedness of generalized fractional maximal operators on generalized Orlicz–Morrey spaces. We also give necessary and sufficient conditions for the vector-valued inequalities of the Hardy–Littlewood maximal operator, generalized fractional maximal operators and singular integral operators on these function spaces.