{
  "id": "0806.2430",
  "version": "v1",
  "published": "2008-06-15T09:26:21.000Z",
  "updated": "2008-06-15T09:26:21.000Z",
  "title": "Sobolev $W^1_p$-spaces on closed subsets of $R^n$",
  "authors": [
    "Pavel Shvartsman"
  ],
  "comment": "94 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "For each $p>n$ we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space $W_p^1(R^n)$ to an arbitrary closed subset of $R^n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-15T09:26:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "intrinsic characterizations",
      "sobolev space",
      "local oscillations",
      "arbitrary closed subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 94,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.2430S"
    }
  }
}