Bang Xu

collaborators

2 papers

math.OA2025

Dimension-free maximal inequalities for noncommutative spherical means over cyclic groups

Li Gao, Bang Xu

In this paper, we establish dimension-free $L_{p}$ -estimates for operator-valued maximal spherical means over cyclic groups $Z_{m + 1}^{d}$ for all $p > 1$ and $m \geq 1$ . The key ingredien…

math.FA2024

Geometric influences on quantum Boolean cubes

David P. Blecher, Li Gao, Bang Xu

In this work, we study three problems related to the $L_{1}$ -influence on quantum Boolean cubes. In the first place, we obtain a dimension free bound for $L_{1}$ -influence, which impli…