Real interpoaltion of Sobolev spaces associated to a weight
| dc.creator | Badr, Nadine | |
| dc.date | 2007-05-16 | |
| dc.date | 2008-04-12 | |
| dc.date.accessioned | 2026-07-07T09:31:38Z | |
| dc.date.available | 2026-07-07T09:31:38Z | |
| dc.description | We study the interpolation property of Sobolev spaces of order 1 denoted by $W^{1}_{p,V}$, arising from Schrödinger operators with positive potential. We show that for $1\leq p_1<p<p_2<q_{0}$ with $p>s_0$, $W^{1}_{p,V}$ is a real interpolation space between $W_{p_1,V}^{1}$ and $W_{p_2,V}^{1}$ on some classes of manifolds and Lie groups. The constants $s_{0}, q_{0}$ depend on our hypotheses. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0705.2268 | |
| dc.identifier | http://arxiv.org/abs/0705.2268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158532 | |
| dc.subject | Functional Analysis | |
| dc.subject | Metric Geometry | |
| dc.subject | 46B70, 35J10 | |
| dc.title | Real interpoaltion of Sobolev spaces associated to a weight | |
| dc.type | text |