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We will study the boundedness of Marcinkiewicz integrals with rough kernel onthe generalized weighted Morrey spaces. We will also prove that the commutator operators formed by aBMORn function and Marcinkiewicz integrals are also bounded on the generalized weighted Morreyspaces.

Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces