A bilinear pseudodifferential calculus
Classical Analysis and ODEs
2008-02-21 v2 Analysis of PDEs
Abstract
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 classes allow us to consider operators closely related to the bilinear Hilbert transform. We give a description of the action of our bilinear operators on Sobolev spaces. These classes also have a ``nice'' behavior through the transposition and the composition operations that we will present.
Cite
@article{arxiv.0802.0437,
title = {A bilinear pseudodifferential calculus},
author = {Frederic Bernicot},
journal= {arXiv preprint arXiv:0802.0437},
year = {2008}
}
Comments
28 pages