48 citations · 97 across the 22 of their papers we have counts for
4 papers · 1 filter
The sharp weighted maximal inequalities for noncommutative martingales
Tomasz Gałązka, Yong Jiao, Adam Osękowski +1
The purpose of the paper is to establish weighted maximal -inequalities in the context of operator-valued martingales on semifinite von Neumann algebras. The main emphasis is…
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…
Noncommutative Good- Inequalities
Yong Jiao, Adam Osekowski, Lian Wu
We propose a novel approach in noncommutative probability, which can be regarded as an analogue of good- inequalities from the classical case due to Burkholder and Gundy (Acta M…
On fluctuations of traces of large matrices over a non-commutative algebra
Mihai Popa, yong Jiao
The paper investigates the asymptotic behavior of (non-normalized) traces of certain classes of matrices with non-commutative random variables as entries. We show that, unlike in t…