activity
20002025
most citedOptimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants

47 citations · 141 across the 25 of their papers we have counts for

collaborators

27 papers

math.CA2025

Stein's theorem in the upper-half plane and Bergman spaces with weights

Aline Bonami, Sandrine Grellier, Benoît Sehba

This is a companion paper to our previous one, Avatars of Stein's Theorem in the complex setting. In this previous paper, we gave a sufficient condition for an integrable function…

math.CA2023

Guido Weiss: a few memories of a friend and an influential mathematician

Pascal Auscher, Aline Bonami

This contribution starts with an exchange between us on the way we met Guido and he influenced our mathematical lives. Then it is mainly a survey paper that illustrates this influe…

math.PR2023

Products and Commutators of Martingales in and

Aline Bonami, Yong Jiao, Guangheng Xie +2

Let and be two martingales related to the probability space equipped with the filtration $(…

math.CA2022

Global Stein Theorem on Hardy spaces

Aline Bonami, Sandrine Grellier, Benoit Sehba

Let f be an integrable function which has integral 0 on R n. What is the largest condition on |f | that guarantees that f is in the Hardy space H 1 (R n)? When f is compactly suppo…

math.FA2021

Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications

Aline Bonami, Gerard Kerkyacharian, Pencho Petrushev

Gaussian upper and lower bounds and Hölder continuity are established for the heat kernel associated to the prolate spheroidal wave functions (PSWFs) of order zero. These results a…

math.CA2018

Atomic decomposition and Weak Factorization for Bergman-Orlicz spaces

David Bekolle, Aline Bonami, Edgar Tchoundja

For the unit ball of , we consider Bergman-Orlicz spaces of holomorphic functions in , which are generalizations of classical Bergman…