The Hardy-Littlewood Maximal Operator on Discrete Weighted Morrey Spaces

2023/09/02 by Hao, Xuebing, Yang, Shuai, Li, Baode
#42B25 #42B35 #46B45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2309.00804

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 Calderón-Zygmund decomposition for weighted l¹-sequences. Furthermore, the boundedness of discrete Hardy-Littlewood maximal operators on discrete weighted Morrey spaces is established.

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