The Hardy-Littlewood Maximal Operator on Discrete Weighted Morrey Spaces
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 $l^1$-sequences. Furthermore, the boundedness of discrete Hardy-Littlewood maximal operators on discrete weighted Morrey spaces is established.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.00804
- arXiv:
- arXiv:2309.00804
- Bibcode:
- 2023arXiv230900804H
- Keywords:
-
- Mathematics - Functional Analysis;
- 42B35;
- 46B45;
- 42B25