Endpoint for the div-curl lemma in Hardy spaces

Aline Bonami (1) , Justin Feuto (2) , Sandrine Grellier (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 Université de Cocody

We give a div-curl type lemma for the wedge product of closed differential forms on R^n when they have coefficients respectively in a Hardy space and L^infinity or BMO. In this last case, the wedge product belongs to an appropriate Hardy-Orlicz space.

Mots clés: Hardy-spaces; Hardy-Orlicz spaces; div-curl lemma; differential forms

Domaines: Analyse classique [math.CA]; Variables complexes [math.CV]; Equations aux dérivées partielles [math.AP]

Aline Bonami, Justin Feuto, Sandrine Grellier. Endpoint for the div-curl lemma in Hardy spaces. Publicacions Matematiques (Barcelona), 2010, pp.341-358. ⟨hal-00337750v2⟩