Maximal regularity and Hardy spaces
| dc.creator | Auscher, Pascal | |
| dc.creator | Bernicot, Frédéric | |
| dc.creator | Zhao, Jiman | |
| dc.date | 2007-10-16 | |
| dc.date.accessioned | 2026-07-07T08:36:35Z | |
| dc.date.available | 2026-07-07T08:36:35Z | |
| dc.description | In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain. We show the boundedness of the operator of maximal regularity $f\mapsto Au$ and its adjoint on appropriate Hardy spaces which we define and study for this purpose. As a consequence we reobtain the maximal $L^q$ regularity on $L^p$ spaces for $p,q$ between 1 and $\infty$. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0710.2961 | |
| dc.identifier | http://arxiv.org/abs/0710.2961 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140109 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 34G10, 35K90, 42B30, 42B20, 47D06 | |
| dc.title | Maximal regularity and Hardy spaces | |
| dc.type | text |