3 papers
math.FA2026
Noncommutative maximal differential transforms associated to averaging operators
Shaohong Liang, Yu Wang, Bang Xu +1
In this paper, we establish the noncommutative maximal weak type and strong type estimates for the family of operators , defined by $$T_Nf=\sum_{k=N_1}^{N_…
math.OA2026
Lamperti Operators, Dilation Theory, and Applications in Noncommutative Ergodic Theory
Guixiang Hong, Wei Liu, Samya Kumar Ray +1
In this paper, we develop a novel framework for quantitative mean ergodic theorems in the noncommutative setting, with a focus on actions of amenable groups and semigroups. We prov…
math.CA2020
Maximal singular integral operators acting on noncommutative -spaces
Guixiang Hong, Xudong Lai, Bang Xu
In this paper, we study the boundedness theory for maximal Calderón-Zygmund operators acting on noncommutative -spaces. Our first result is a criterion for the weak type $(1,1…