Predual of weak Orlicz spaces
Functional Analysis
2021-04-27 v1
Abstract
In this paper, we consider the predual spaces of weak Orlicz spaces. As an application, we provide the Fefferman-Stein vector-valued maximal inequality for the weak Orlicz spaces. In order to prove this statement, we introduced the Orlicz-Lorentz spaces, and showed the boundedness of the Hardy-Littlewood maximal operator on these spaces.
Keywords
Cite
@article{arxiv.2104.12045,
title = {Predual of weak Orlicz spaces},
author = {Naoya Hatano and Ryota Kawasumi and Takahiro Ono},
journal= {arXiv preprint arXiv:2104.12045},
year = {2021}
}