A characterization for Adams-type boundedness of the fractional maximal   operator on generalized Orlicz-Morrey spaces
  In the present paper, we shall give a characterization for weak/strong Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces. 
Fatih Deringoz, Vagif S. Guliyev, Sabir G. Hasanov
math.FA