A note on the maximal operator on Banach function spaces
Classical Analysis and ODEs
2024-04-25 v1 Functional Analysis
Abstract
In this note we answer positively to two conjectures proposed by Nieraeth (2023) about the maximal operator on rescaled Banach function spaces. We also obtain a new criterion saying when the maximal operator bounded on a Banach function space is also bounded on the associate space .
Cite
@article{arxiv.2404.15671,
title = {A note on the maximal operator on Banach function spaces},
author = {Andrei K. Lerner},
journal= {arXiv preprint arXiv:2404.15671},
year = {2024}
}
Comments
13 pages