Noncommutative discrete spherical maximal inequalities over a lacunary sequence
Abstract
Abstract This paper establishes the noncommutative maximal inequality for discrete spherical averages over a lacunary sequence. Our main result extends the work of Hughes [J. Anal. Math. 138 (2019), no. 1, 1‐21] to the noncommutative setting and, meanwhile, strengthens the recent study of Chen and Hong [arXiv: 2410.06035 (2024)] to the case of .
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Advanced Operator Algebra Research
Advanced Banach Space Theory
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 2
- Publication date
- 27 January 2026
- Language
- EN