  In this paper, we investigate necessary and sufficient conditions on the
boundedness of composition operators on the Orlicz-Morrey spaces. The results
of boundedness include Lebesgue and generalized Morrey spaces as special cases.
Further, we characterize the boundedness of composition operators on the weak
Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey
spaces.
