{
  "id": "math/0212289",
  "version": "v1",
  "published": "2002-12-20T09:31:57.000Z",
  "updated": "2002-12-20T09:31:57.000Z",
  "title": "Lipschitz spaces and Calderon-Zygmund operators associated to non-doubling measures",
  "authors": [
    "Jose Garcia-Cuerva",
    "A. Eduardo Gatto"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "In the setting of $\\R^d$ with an $n-$dimensional measure $\\mu,$ we give several characterizations of Lipschitz spaces in terms of mean oscillations involving $\\mu.$ We also show that Lipschitz spaces are preserved by those Calderon-Zygmund operators $T$ associated to the measure $\\mu$ for which T(1) is the Lipschitz class $0.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-20T09:31:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "26A33",
      "47B38",
      "47G10"
    ],
    "keywords": [
      "lipschitz spaces",
      "calderon-zygmund operators",
      "non-doubling measures",
      "dimensional measure",
      "mean oscillations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12289G"
    }
  }
}