We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main ...

We consider generalized Orlicz-Morrey spaces including their weak versions . We find the sufficient conditions on the pairs and which ensures the boundedness of the fractional maximal operator from to and from to . As ...