Noncommutative endpoint maximal estimates for spherical means
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).
Authors
- Guixiang Hong (ORCID: https://orcid.org/0000-0002-1467-3180)
- Lian Wu (ORCID: https://orcid.org/0009-0008-2151-7929)
- Wenjuan Li (ORCID: https://orcid.org/0000-0002-3936-0308)
- Qi Sun (ORCID: https://orcid.org/0000-0002-9247-2659)
Institutions
- Central South University (CN)
- Northwestern Polytechnical University (CN)
- Harbin Institute of Technology (CN)
- Heilongjiang Institute of Technology (CN)
Publication Details
- Journal
- Revista Matemática Iberoamericana
- Published
- 2025-08-21
- DOI
- https://doi.org/10.4171/rmi/1583
- Citations
- 1
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 3.73