{
  "id": "0705.2216",
  "version": "v3",
  "published": "2007-05-15T19:44:31.000Z",
  "updated": "2008-04-01T07:18:32.000Z",
  "title": "Real interpolation of Sobolev spaces",
  "authors": [
    "Nadine Badr"
  ],
  "comment": "30 pages",
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We prove that $W^{1}_{p}$ is an interpolation space between $W^{1}_{p_{1}}$ and $W^{1}_{p_{2}}$ for $p>q_{0}$ and $1\\leq p_{1}<p<p_{2}\\leq \\infty$ on some classes of manifolds and general metric spaces, where $q_{0}$ depends on our hypotheses.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-04-01T07:18:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B70",
      "46M35"
    ],
    "keywords": [
      "sobolev spaces",
      "real interpolation",
      "general metric spaces",
      "interpolation space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2216B"
    }
  }
}