5 citations · 5 across the 5 of their papers we have counts for
7 papers
Lp estimates for non smooth bilinear Littlewood-Paley square functions on R
Frederic Bernicot
In this work, some non smooth bilinear analogues of linear Littlewood-Paley square functions on the real line are studied. These bilinear operators are closely related to the bilin…
Addendum to "Maximal regularity and Hardy spaces"
Pascal Auscher, Frédéric Bernicot, Jiman Zhao
We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Frédéric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]
Use of abstract Hardy spaces, Real interpolation and Applications to bilinear operators
Frédéric Bernicot
This paper can be considered as the sequel of [6], where the authors have proposed an abstract construction of Hardy spaces H^1. They shew an interpolation result for these Hardy s…
A bilinear pseudodifferential calculus
Frederic Bernicot
In this paper, we are interested in the construction of a bilinear pseudodifferential calculus. We define some symbolic classes which contains those of Coifman-Meyer. These new cla…
Local estimates and global continuities in Lebesgue spaces for bilinear operators
Frederic Bernicot
In this paper, we first prove some local estimates for bilinear operators (closely related to the bilinear Hilbert transform and similar singular operators) with truncated symbol.…
New Abstract Hardy Spaces
Frederic Bernicot, Jiman Zhao
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic…