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The aim of the present paper is to give necessary and sufficient conditionsfor the boundedness of a general class of multilinear Hausdorff operators thatacts on the product of some weighted function spaces with variable exponentsuch as the weighted Lebesgue, Herz, central Morrey and Morrey-Herz type spaceswith variable exponent. Our results improve and generalize some previous knownresults.

Multilinear Hausdorff operators on some function spaces with variable exponent