In this paper we prove $L^p$ estimates for a tri-linear operator,
whose symbol is given by the product of two standard symbols,
satisfying the well known Marcinkiewicz-Hörmander-Mihlin
condition. Our main result contains in particular the classical
Coifman-Meyer theorem. This tri-linear operator is the simplest
example of a large class of multi-linear operators, which we
called \textit{paraproducts with flag singularities}.
Publié le : 2007-04-14
Classification:
paraproducts,
$L^{1,\infty}$-sizes,
$L^{1,\infty}$-energies,
flag singularities,
42B25
@article{1190831226,
author = {Muscalu, Camil},
title = {Paraproducts with flag singularities I. A case study},
journal = {Rev. Mat. Iberoamericana},
volume = {23},
number = {1},
year = {2007},
pages = { 705-742},
language = {en},
url = {http://dml.mathdoc.fr/item/1190831226}
}
Muscalu, Camil. Paraproducts with flag singularities I. A case study. Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, pp. 705-742. http://gdmltest.u-ga.fr/item/1190831226/