Remark on dimension‐free estimates for discrete maximal functions over ℓ <sup> <i>q</i> </sup> balls: Small dyadic scales

Abstract We give a dimension‐free bound on , for the discrete Hardy–Littlewood maximal operator over the balls in with small dyadic radii. Our result combined with the work of Kosz, Mirek, Plewa, and Wróbel gives dimension‐free estimates on , for the discrete dyadic Hardy–Littlewood maximal operator over balls for .

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-10-16
DOI
https://doi.org/10.1112/blms.70220
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

Remark on dimension‐free estimates for discrete maximal functions over ℓ q balls: Small dyadic scales

Jakub Niksiński
Bulletin of the London Mathematical Society
Advanced Harmonic Analysis Research
article

Remark on dimension‐free estimates for discrete maximal functions over ℓ q balls: Small dyadic scales

Jakub Niksiński
article en

Abstract

Abstract We give a dimension‐free bound on , for the discrete Hardy–Littlewood maximal operator over the balls in with small dyadic radii. Our result combined with the work of Kosz, Mirek, Plewa, and Wróbel gives dimension‐free estimates on , for the discrete dyadic Hardy–Littlewood maximal operator over balls for .

Bulletin of the London Mathematical SocietyVol. 58(1)
University of Wrocław (PL)
Openalex Percentile: Top 59%
Advanced Harmonic Analysis Research
DOISourceOpenAlex
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Remark on dimension‐free estimates for discrete maximal functions over ℓ <sup> <i>q</i> </sup> balls: Small dyadic scales — Jakub Niksiński · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS