{
  "id": "1204.5891",
  "version": "v1",
  "published": "2012-04-26T11:51:08.000Z",
  "updated": "2012-04-26T11:51:08.000Z",
  "title": "On Cantor sets and doubling measures",
  "authors": [
    "Marianna Csörnyei",
    "Ville Suomala"
  ],
  "comment": "to apper in J. Math. Anal. Appl",
  "categories": [
    "math.CA"
  ],
  "abstract": "For a large class of Cantor sets on the real-line, we find sufficient and necessary conditions implying that a set has positive (resp. null) measure for all doubling measures of the real-line. We also discuss same type of questions for atomic doubling measures defined on certain midpoint Cantor sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-26T11:51:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "midpoint cantor sets",
      "large class",
      "sufficient",
      "atomic doubling measures",
      "necessary conditions implying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5891C"
    }
  }
}