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19942024
most citedConditioned square functions for noncommutative martingales

67 citations · 136 across the 26 of their papers we have counts for

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math.OA2024

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…

math.OA2022

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…

math.OA2021

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…

math.OA2020

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…

math.OA2019★ 22 cited

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…

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…