22 citations · 56 across the 16 of their papers we have counts for
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math.PR2015★ 5 cited
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…
math.OA2015
Noncommutative Fractional integrals
Narcisse Randrianantoanina, Lian Wu
Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstrac…
math.OA2015★ 1 cited
Martingale inequalities in noncommutative symmetric spaces
Narcisse Randrianantoanina, Lian Wu
We provide generalizations of Burkholder's inequalities involving conditioned square functions of martingales to the general context of martingales in noncommutative symmetric spac…