New Abstract Hardy Spaces
| dc.creator | Bernicot, Frederic | |
| dc.creator | Zhao, Jiman | |
| dc.date | 2007-12-19 | |
| dc.date.accessioned | 2026-07-07T08:50:17Z | |
| dc.date.available | 2026-07-07T08:50:17Z | |
| dc.description | The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L^1 and some results about interpolation between these spaces and the Lebesgue spaces. We also obtain some results on weighted norm inequalities. Then we apply this abstract theory to the L^p maximal regularity. Finally we present partial results in order to understand a characterization of the duals of Hardy spaces. | |
| dc.description | 53 pages | |
| dc.identifier | https://arxiv.org/abs/0712.3114 | |
| dc.identifier | http://arxiv.org/abs/0712.3114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144557 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 42B25; 42B30; 42B35; 46M35 | |
| dc.title | New Abstract Hardy Spaces | |
| dc.type | text |