22 citations · 29 across the 6 of their papers we have counts for
7 papers
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…
A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application
Liang Song, Liangchuan Wu
The theory of tent spaces on was introduced by Coifman, Meyer and Stein, including atomic decomposition, duality theory and so on. Russ generalized the atomic decomp…
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…
Variable Martingale Hardy Spaces and Their Applications in Fourier Analysis
Yong Jiao, Ferenc Weisz, Dejian Zhou +1
Let be a measurable function defined on a probability space satisfying . We investigate five…
Noncommutative Burkholder/Rosenthal inequalities associated with convex functions
Narcisse Randrianantoanina, Lian Wu
We prove noncommutative martingale inequalities associated with convex functions. More precisely, we obtain -moment analogues of the noncommutative Burkholder inequalities and t…