Article Dans Une Revue The Journal of Geometric Analysis Année : 2008

Hardy spaces of differential forms on Riemannian manifolds

Résumé

Let $M$ be a complete connected Riemannian manifold. Assuming that the Riemannian measure is doubling, we define Hardy spaces $H^p$ of differential forms on $M$ and give various characterizations of them, including an atomic decomposition. As a consequence, we derive the $H^p$-boundedness for Riesz transforms on $M$, generalizing previously known results. Further applications, in particular to $H^{\infty}$ functional calculus and Hodge decomposition, are given.

Fichier principal
Vignette du fichier
AMcR.pdf (545.71 Ko) Télécharger le fichier

Dates et versions

hal-00112950 , version 1 (11-11-2006)

Licence

Identifiants

Citer

Pascal Auscher, Alan Mcintosh, Emmanuel Russ. Hardy spaces of differential forms on Riemannian manifolds. The Journal of Geometric Analysis, 2008, 18 (1), pp.192-248. ⟨10.1007/s12220-007-9003-x⟩. ⟨hal-00112950⟩
197 Consultations
272 Téléchargements

Altmetric

Partager

  • More