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arXiv · 2404.15671

A note on the maximal operator on Banach function spaces

Andrei K. Lerner
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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 $X$ is also bounded on the associate space $X'$.

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Andrei K. Lerner. 2024-04-24. A note on the maximal operator on Banach function spaces. https://arxiv.org/abs/2404.15671

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