67 citations · 136 across the 26 of their papers we have counts for
27 papers
P. Jones' interpolation theorem for noncommutative martingale Hardy spaces II
Narcisse Randrianantoanina
Let be a semifinite von Neumann algebra equipped with an increasing filtration of (semifinite) von Neumann subalgebras of . F…
P. Jones'Interpolation theorem for noncommutative martingale Hardy spaces
Narcisse Randrianantoanina
Let be a semifinite von Nemann algebra equipped with an increasing filtration of (semifinite) von Neumann subalgebras of $\M$. For $0<p \l…
Interpolation between noncommutative martingale Hardy and BMO spaces: the case
Narcisse Randrianantoanina
Let be a semifinite von Nemann algebra equipped with an increasing filtration of (semifinite) von Neumann subalgebras of . Fo…
Atomic decompositions for noncommutative martingales
Zeqian Chen, Narcisse Randrianantoanina, Quanhua Xu
We prove an atomic type decomposition for the noncommutative martingale Hardy space $\h_p$ for all by an explicit constructive method using algebraic atoms as building bloc…
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…
Noncommutative Davis type decompositions and applications
Narcisse Randrianantoanina, Lian Wu, Quanhua Xu
We prove the noncommutative Davis decomposition for the column Hardy space $\H_p^c$ for all . A new feature of our Davis decomposition is a simultaneous control of $\H_1…