Sharp derivative inequalities for maximal functions

We determine the optimal constant in the $L^p$-derivative inequality for the uncentered Hardy--Littlewood maximal operator on the real line for every $1

Authors

S. Liao (ORCID: https://orcid.org/0009-0004-5026-0537)
Eyvindur Ari Palsson (ORCID: https://orcid.org/0000-0002-0221-9757)
José Madrid

Publication Details

Journal: arXiv (Cornell University)
Published: 2026-10-29
DOI: https://doi.org/10.48550/arxiv.2610.39178
Primary Topic: Advanced Harmonic Analysis Research
Type: preprint

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preprint

Sharp derivative inequalities for maximal functions

S. Liao, Eyvindur Ari Palsson, José Madrid

Oct 29, 2026

arXiv (Cornell University)

Advanced Harmonic Analysis Research

preprint

Sharp derivative inequalities for maximal functions

S. Liao, Eyvindur Ari Palsson, José Madrid

October 29, 2026preprint en

Abstract

We determine the optimal constant in the $L^p$-derivative inequality for the uncentered Hardy--Littlewood maximal operator on the real line for every $1

arXiv (Cornell University)

Advanced Harmonic Analysis Research

DOI Open Access PDF OpenAlex

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Sharp derivative inequalities for maximal functions — S. Liao, Eyvindur Ari Palsson, et al. · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS