{
  "id": "0705.2268",
  "version": "v2",
  "published": "2007-05-16T13:33:39.000Z",
  "updated": "2008-04-12T14:31:26.000Z",
  "title": "Real interpoaltion of Sobolev spaces associated to a weight",
  "authors": [
    "Nadine Badr"
  ],
  "comment": "25 pages",
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We study the interpolation property of Sobolev spaces of order 1 denoted by $W^{1}_{p,V}$, arising from Schr\\\"{o}dinger 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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-12T14:31:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B70",
      "35J10"
    ],
    "keywords": [
      "sobolev spaces",
      "real interpoaltion",
      "real interpolation space",
      "lie groups",
      "interpolation property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2268B"
    }
  }
}