A Note on the Maximal Operator on Banach Function Spaces

Andrei K. Lerner

doi:10.1007/s12220-025-02015-2

A Note on the Maximal Operator on Banach Function Spaces

Andrei K. Lerner

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we answer positively to two conjectures proposed by Nieraeth (J Funct Anal 285:109, 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′.

Original language	English
Article number	177
Journal	Journal of Geometric Analysis
Volume	35
Issue number	6
DOIs	https://doi.org/10.1007/s12220-025-02015-2
State	Published - Jun 2025

Keywords

A weights
Banach function spaces
Maximal operator

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s12220-025-02015-2

Cite this

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A Note on the Maximal Operator on Banach Function Spaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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