Noncommutative endpoint maximal estimates for spherical means

Guixiang Hong; Wenjuan Li; Qi Sun; Lian Wu

doi:10.4171/RMI/1583

Noncommutative endpoint maximal estimates for spherical means

Guixiang Hong
, Wenjuan Li
, Qi Sun
, Lian Wu

School of Mathematics

Northwestern Polytechnical University Xian
School of Mathematics and Statistics

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

1 Scopus citations

Abstract

We establish the noncommutative restricted weak-type endpoint maximal estimates for both the continuous and the discrete spherical means, extending results of Bourgain (1985) and Ionescu (2004) to the noncommutative setting. As an application, we obtain the noncommutative restricted weak-type maximal ergodic inequalities for spherical averages, which were the natural questions left open after Chen and Hong (2024) and Hong (2013).

Original language	English
Pages (from-to)	747-768
Number of pages	22
Journal	Revista Matematica Iberoamericana
Volume	42
Issue number	2
DOIs	https://doi.org/10.4171/RMI/1583
State	Published - 2026

Keywords

discrete Fourier analysis
noncommutative L spaces
noncommutative maximal inequalities
restricted weak-type estimates
spherical means

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10.4171/RMI/1583

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title = "Noncommutative endpoint maximal estimates for spherical means",

abstract = "We establish the noncommutative restricted weak-type endpoint maximal estimates for both the continuous and the discrete spherical means, extending results of Bourgain (1985) and Ionescu (2004) to the noncommutative setting. As an application, we obtain the noncommutative restricted weak-type maximal ergodic inequalities for spherical averages, which were the natural questions left open after Chen and Hong (2024) and Hong (2013).",

keywords = "discrete Fourier analysis, noncommutative L spaces, noncommutative maximal inequalities, restricted weak-type estimates, spherical means",

author = "Guixiang Hong and Wenjuan Li and Qi Sun and Lian Wu",

note = "Publisher Copyright: {\textcopyright} 2025 Real Sociedad Matem{\'a}tica Espa{\~n}ola. Published by EMS Press and licensed under a CC BY 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/",

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doi = "10.4171/RMI/1583",

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T1 - Noncommutative endpoint maximal estimates for spherical means

AU - Hong, Guixiang

AU - Li, Wenjuan

AU - Sun, Qi

AU - Wu, Lian

PY - 2026

Y1 - 2026

N2 - We establish the noncommutative restricted weak-type endpoint maximal estimates for both the continuous and the discrete spherical means, extending results of Bourgain (1985) and Ionescu (2004) to the noncommutative setting. As an application, we obtain the noncommutative restricted weak-type maximal ergodic inequalities for spherical averages, which were the natural questions left open after Chen and Hong (2024) and Hong (2013).

AB - We establish the noncommutative restricted weak-type endpoint maximal estimates for both the continuous and the discrete spherical means, extending results of Bourgain (1985) and Ionescu (2004) to the noncommutative setting. As an application, we obtain the noncommutative restricted weak-type maximal ergodic inequalities for spherical averages, which were the natural questions left open after Chen and Hong (2024) and Hong (2013).

KW - discrete Fourier analysis

KW - noncommutative L spaces

KW - noncommutative maximal inequalities

KW - restricted weak-type estimates

KW - spherical means

UR - https://www.scopus.com/pages/publications/105031522154

U2 - 10.4171/RMI/1583

DO - 10.4171/RMI/1583

M3 - 文章

AN - SCOPUS:105031522154

SN - 0213-2230

VL - 42

SP - 747

EP - 768

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 2

ER -

Noncommutative endpoint maximal estimates for spherical means

Abstract

Keywords

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