Hardy spaces of differential forms on Riemannian manifolds
| dc.creator | Auscher, Pascal | |
| dc.creator | Mcintosh, Alan | |
| dc.creator | Russ, Emmanuel | |
| dc.date | 2006-11-11 | |
| dc.date | 2006-11-14 | |
| dc.date.accessioned | 2026-07-07T07:39:47Z | |
| dc.date.available | 2026-07-07T07:39:47Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0611334 | |
| dc.identifier | http://arxiv.org/abs/math/0611334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121581 | |
| dc.subject | Differential Geometry | |
| dc.subject | 42B30, 58J05, 47F05, 47A60 | |
| dc.title | Hardy spaces of differential forms on Riemannian manifolds | |
| dc.type | text |