{
  "id": "1003.1697",
  "version": "v1",
  "published": "2010-03-08T18:50:30.000Z",
  "updated": "2010-03-08T18:50:30.000Z",
  "title": "On the boundary values of Sobolev $W^1_p$-functions",
  "authors": [
    "Pavel Shvartsman"
  ],
  "comment": "55 pages, 6 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "For each $p>n$ we use local oscillations to give intrinsic characterizations of the trace of the Sobolev space $W^1_p(\\Omega)$ to the boundary of an arbitrary domain $\\Omega\\subset R^n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-08T18:50:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "boundary values",
      "local oscillations",
      "intrinsic characterizations",
      "sobolev space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1697S"
    }
  }
}