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Calderón-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces (2204.13898v1)
Published 29 Apr 2022 in math.FA
Abstract: In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calder\'{o}n-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calder\'{o}n-Zygmund operators on these spaces. Moreover, the boundedness of Calder\'{o}n-Zygmund operators in the vector-valued setting is given.