Hardy spaces and variants of the div-curl lemma
The theory of real Hardy spaces has been applied to the study of partial
differential equations in many different contexts. In the 1990's, one of main results
in this direction was the div-curl lemma of Coifman, Lions, Meyer and Semmes. We
discuss some variants of this lemma in the context of the local Hardy spaces of Goldberg,
and of weighted Hardy spaces. This is joint work with Der-Chen Chang and Hong Yue.