{
  "id": "0806.3053",
  "version": "v2",
  "published": "2008-06-18T17:40:43.000Z",
  "updated": "2009-04-22T18:25:18.000Z",
  "title": "Isoperimetry and Symmetrization for Sobolev spaces on metric spaces",
  "authors": [
    "Joaquim Martin",
    "Mario Milman"
  ],
  "comment": "corrected version",
  "journal": "C. R. Acad. Sci. I (2009)",
  "doi": "10.1016/j.crma.2009.04.01",
  "categories": [
    "math.FA"
  ],
  "abstract": "Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces. The applications include concentration inequalities, as well as metric versions of the P\\'{o}% lya-Szeg\\\"{o} and Faber-Krahn principles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-22T18:25:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric spaces",
      "sobolev spaces",
      "isoperimetry",
      "study sobolev inequalities",
      "symmetrization inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.3053M"
    }
  }
}