48 citations · 97 across the 22 of their papers we have counts for
22 papers
Products and Commutators of Martingales in and
Aline Bonami, Yong Jiao, Guangheng Xie +2
Let and be two martingales related to the probability space equipped with the filtration $(…
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…
Distributional inequalities for noncommutative martingales
Yong Jiao, Fedor Sukochev, Lian Wu +1
We establish distributional estimates for noncommutative martingales, in the sense of decreasing rearrangements of the spectra of unbounded operators, which generalises the study o…
Rosenthal's inequalities: norms and quasi-Banach symmetric sequence spaces
Yong Jiao, Guangheng Xie, Fedor Sukochev +1
Let be a symmetric quasi-Banach function space with Fatou property and let be an arbitrary symmetric quasi-Banach sequence space. Suppose that 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…
New Martingale Inequalities and Applications to Fourier Analysis
Guangheng Xie, Ferenc Weisz, Dachun Yang +1
Let be a probability space and be a Musielak-Orlicz function. In this article, the authors prove that the Doob max…