{
  "id": "1710.07826",
  "version": "v1",
  "published": "2017-10-21T16:49:59.000Z",
  "updated": "2017-10-21T16:49:59.000Z",
  "title": "Sobolev functions on closed subsets of the real line",
  "authors": [
    "Pavel Shvartsman"
  ],
  "comment": "49 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "For each $p>1$ and each positive integer $m$ we use divided differences to give intrinsic characterizations of the restriction of the homogeneous Sobolev space $L^m_p(R)$ to an arbitrary closed subset of the real line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-21T16:49:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "real line",
      "sobolev functions",
      "intrinsic characterizations",
      "homogeneous sobolev space",
      "arbitrary closed subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}