48 citations · 81 across the 13 of their papers we have counts for
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Talagrand type for noncommutative spaces
Sijie Luo, Yusen Wang, Dejian Zhou
Let be a semi-finite von Neumann algebra. We prove that has Talagrand type , where . As an consequence, th…
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…
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…
Asymmetric Burkholder inequalities in noncommutative symmetric spaces
Lian Wu, Runlian Xia, Dejian Zhou
In this paper, we establish noncommutative Burkholder inequalities with asymmetric diagonals in symmetric operator spaces. Our proof mainly relies on a new complex interpolation re…
2-Co-lacunary sequences in noncommutative symmetric Banach spaces
Fedor Sukochev, Dejian Zhou
We characterize noncommutative symmetric Banach spaces for which every bounded sequence admits either a convergent subsequence, or a -co-lacunary subsequence. This extends the c…
Square functions for noncommutative differentially subordinate martingales
Yong Jiao, Narcisse Randrianantoanina, Lian Wu +1
We prove inequalities involving noncommutative differentially subordinate martingales. More precisely, we prove that if is a self-adjoint noncommutative martingale and is w…