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arXiv · 1801.05550

The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces

Hendra Gunawan·Christopher Schwanke
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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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Hendra Gunawan, Christopher Schwanke. 2018-01-17. The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces. https://arxiv.org/abs/1801.05550

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