We give a $\operatorname{div}$-$\operatorname{curl}$ type lemma for the wedge product
of closed differential forms on ${\mathbb R}^n$ when they have coefficients
respectively in a Hardy space and $L^\infty$ or $\mathit{BMO}$. In this latter case,
the wedge product belongs to an appropriate Hardy-Orlicz space.
@article{1277731536,
author = {Bonami, Aline and Feuto, Justin and Grellier, Sandrine},
title = {Endpoint for the div-curl lemma in Hardy spaces},
journal = {Publ. Mat.},
volume = {54},
number = {2},
year = {2010},
pages = { 341-358},
language = {en},
url = {http://dml.mathdoc.fr/item/1277731536}
}
Bonami, Aline; Feuto, Justin; Grellier, Sandrine. Endpoint for the div-curl lemma in Hardy spaces. Publ. Mat., Tome 54 (2010) no. 2, pp. 341-358. http://gdmltest.u-ga.fr/item/1277731536/