The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces

Published 17 Jan 2018 in math.FA | (1801.05550v2)

Abstract: We discuss the Hardy-Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a discrete version of the Fefferman-Stein inequality. As a corollary, we also obtain the boundedness of some Riesz potentials on discrete Morrey spaces.

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