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arXiv · 2309.00804

The Hardy-Littlewood Maximal Operator on Discrete Weighted Morrey Spaces

Xuebing Hao·Shuai Yang·Baode Li
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Abstract

In this paper, we introduce a discrete version of weighted Morrey spaces, and discuss the inclusion relations of these spaces. In addition, we obtain the boundedness of discrete weighted Hardy-Littlewood maximal operators on discrete weighted Lebesgue spaces by establishing a discrete Calder\'on-Zygmund decomposition for weighted $l^1$-sequences. Furthermore, the boundedness of discrete Hardy-Littlewood maximal operators on discrete weighted Morrey spaces is established.

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Xuebing Hao, Shuai Yang, Baode Li. 2023-09-02. The Hardy-Littlewood Maximal Operator on Discrete Weighted Morrey Spaces. https://arxiv.org/abs/2309.00804

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