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Noncommutative endpoint maximal estimates for spherical means

  • Guixiang Hong

    Harbin Institute of Technology, Heilongjiang, P. R. China

  • Wenjuan Li

    Northwestern Polytechnical University, Xi’an, Shaanxi, P. R. China

  • Qi Sun

    Central South University, Changsha, Hunan, P. R. China

  • Lian Wu

    Central South University, Changsha, Hunan, P. R. China
Noncommutative endpoint maximal estimates for spherical means cover
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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).

Cite this article

Guixiang Hong, Wenjuan Li, Qi Sun, Lian Wu, Noncommutative endpoint maximal estimates for spherical means. Rev. Mat. Iberoam. (2025), published online first

DOI 10.4171/RMI/1583