4 citations · 5 across the 2 of their papers we have counts for
2 papers
math.OA2004★ 1 cited
Gundy's decomposition for non-commutative martingales and applications
Javier Parcet, Narcisse Randrianantoanina
We provide an analogue of Gundy's decomposition for L1-bounded non-commutative martingales. An important difference from the classical case is that for any L1-bounded non-commutati…
math.FA2004★ 4 cited
A weak-type inequality for non-commutative martingales and applications
Narcisse Randrianantoanina
We prove a weak-type (1,1) inequality for square functions of non-commutative martingales that are simultaneously bounded in and . More precisely, the following non-comm…