The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces

2018/01/17 by Gunawan, Hendra, Schwanke, Christopher
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1801.05550

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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