{
  "id": "0709.1097",
  "version": "v2",
  "published": "2007-09-07T14:51:07.000Z",
  "updated": "2008-01-14T13:21:39.000Z",
  "title": "Characterizations of Sobolev inequalities on metric spaces",
  "authors": [
    "Juha Kinnunen",
    "Riikka Korte"
  ],
  "comment": "17 pages, corrected typos",
  "journal": "J. Math. Anal. Appl., 334(2), 1093-1103, 2008",
  "doi": "10.1016/j.jmaa.2008.03.070",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We present isocapacitary characterizations of Sobolev inequalities in very general metric measure spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-14T13:21:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "31C45"
    ],
    "keywords": [
      "sobolev inequalities",
      "metric spaces",
      "general metric measure spaces",
      "isocapacitary characterizations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Mathematical Analysis and Applications",
      "year": 2008,
      "month": "Aug",
      "volume": 344,
      "number": 2,
      "pages": 1093
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JMAA..344.1093K"
    }
  }
}