Calderón-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

preprint2022arXivOpen access

Abstract

In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calderón-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calderón-Zygmund operators on these spaces. Moreover, the boundedness of Calderón-Zygmund operators in the vector-valued setting is given.

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