{
  "id": "1506.08026",
  "version": "v1",
  "published": "2015-06-26T10:58:30.000Z",
  "updated": "2015-06-26T10:58:30.000Z",
  "title": "Generalized Lebesgue points for Sobolev functions",
  "authors": [
    "Nijjwal Karak"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we show that a function $f\\in M^{s,p}(X),$ $0<s\\leq 1,$ $0<p<1,$ where $X$ is a doubling metric measure space, has generalized Lebesgue points outside a set of $\\mathcal{H}^h$-Hausdorff measure zero for a suitable gauge function $h.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-26T10:58:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "28A78"
    ],
    "keywords": [
      "sobolev functions",
      "doubling metric measure space",
      "hausdorff measure zero",
      "generalized lebesgue points outside",
      "suitable gauge function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150608026K"
    }
  }
}