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Boundedness of composition operator in Orlicz-Morrey spaces

Published 14 Mar 2024 in math.FA | (2403.09839v2)

Abstract: 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.

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