3 citations · 4 across the 5 of their papers we have counts for
5 papers
Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative space
Guixiang Hong, Wei Liu, Bang Xu
In this paper, we establish the quantitative mean ergodic theorems for two subclasses of power bounded operators on a fixed noncommutative -space with , which main…
Noncommutative maximal strong estimates of Calderón-Zygmund operators
Guixiang Hong, Xudong Lai, Samya Kumar Ray +1
In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calderón-Zygmund operators of non-convolution type acting on operator-valued -functio…
Noncommutative analysis of Hermite expansions
Bang Xu
This paper is devoted to the study of Hermite operators acting on noncommutative -spaces. In the first part, we establish the noncommutative maximal inequalities for Bochner…
Noncommutative differential transforms for averaging operators
Bang Xu
In this paper, we complete the study of mapping properties for a family of operators evaluating the difference between differentiation operators and conditional expectations acting…
Noncommutative weak type estimate for a square function from ergodic theory
Guixiang Hong, Bang Xu
In this paper, we investigate the boundedness of a square function from ergodic theory on noncommutative -spaces. The main result is a weak type estimate of this squ…