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

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.