25 citations · 30 across the 6 of their papers we have counts for
6 papers · 1 filter
Noncommutative Burkholder/Rosenthal inequalities II: applications
Marius Junge, Quanhua Xu
We show norm estimates for the sum of independent random variables in noncommutative -spaces for following our previous work. These estimates generalize the class…
Riesz and Szegö type factorizations for noncommutative Hardy spaces
Turdebek N. Bekjan, Quanhua Xu
Let $\A$ be a finite subdiagonal algebra in Arveson's sense. Let $H^p(\A)$ be the associated noncommutative Hardy spaces, $0<p\le\8$. We extend to the case of all positive indices…
BMO functions and Carleson measures with values in uniformly convex spaces
Caiheng Ouyang, Quanhua Xu
This paper studies the relationship between vector-valued BMO functions and the Carleson measures defined by their gradients. Let and denote Lebesgue measures on the unit…
On the best constants in some non-commutative martingale inequalities
Marius Junge, Quanhua Xu
We determine the optimal orders for the best constants in the non-commutative Burkholder-Gundy, Doob and Stein inequalities obtained recently in the non-commutative martingale theo…
On the maximality of subdiagonal algebras
Quanhua Xu
We consider Arveson's problem on the maximality of subdiagonal algebras. We prove that a subdiagonal algebra is maximal if it is invariant under the modular group of a faithful nor…
Noncommutative maximal ergodic theorems
Marius Junge, Quanhua Xu
This paper is devoted to the study of various maximal ergodic theorems in noncommutative -spaces. In particular, we prove the noncommutative analogue of the classical Dunford-…