The Hardy-Littlewood Maximal Operator on Discrete Weighted Morrey Spaces
Functional Analysis
2023-10-31 v2
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 -sequences. Furthermore, the boundedness of discrete Hardy-Littlewood maximal operators on discrete weighted Morrey spaces is established.
Keywords
Cite
@article{arxiv.2309.00804,
title = {The Hardy-Littlewood Maximal Operator on Discrete Weighted Morrey Spaces},
author = {Xuebing Hao and Shuai Yang and Baode Li},
journal= {arXiv preprint arXiv:2309.00804},
year = {2023}
}