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Article A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces(2020) Akın, LütfiA considerable number of research has been carried out on the generalized Lebesgue spaces Lp(x), Sobolev spaces W1,p(x) and Herz spaces. In this paper, we will discuss a characterization of boundedness of the fractional maximal operator with variable kernel on Herz-Morrey spaces.