4 papers
Large Deviation Inequalities for Noncommutative Martingales
Yong Jiao, Sijie Luo, Dejian Zhou
We establish noncommutative analogs of some well-known large deviation inequalities for noncommutative random variables. Firstly, for the noncommutative independent case, we charac…
Almost uniform convergence for noncommutative Vilenkin-Fourier series
Yong Jiao, Sijie Luo, Tiantian Zhao +1
In the present paper, we study almost uniform convergence for noncommutative Vilenkin-Fourier series. Precisely, we establish several noncommutative (asymmetric) maximal inequaliti…
Weighted norm estimates of noncommutative Calderón-Zygmund operators
Wenfei Fan, Yong Jiao, Lian Wu +1
This paper is devoted to studying weighted endpoint estimates of operator-valued singular integrals. Our main results include weighted weak-type estimate of noncommutative…
Quantum KKL-type Inequalities Revisited
Yong Jiao, Wenlong Lin, Sijie Luo +1
In the present paper, we develop the random restriction method in the quantum framework. By applying this method, we establish the quantum Eldan-Gross inequality, the quantum Talag…