{
  "id": "1206.3070",
  "version": "v2",
  "published": "2012-06-14T10:45:46.000Z",
  "updated": "2014-08-06T17:46:08.000Z",
  "title": "Regularity estimates for convex functions in Carnot-Carathéodory spaces",
  "authors": [
    "Valentino Magnani",
    "Matteo Scienza"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove some regularity estimates for a class of convex functions in Carnot-Carath\\'eodory spaces, generated by H\\\"ormander vector fields. Our approach relies on both the structure of metric balls induced by H\\\"ormander vector fields and local upper estimates for the corresponding subharmonic functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-06T17:46:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H20",
      "26B25"
    ],
    "keywords": [
      "regularity estimates",
      "convex functions",
      "carnot-carathéodory spaces",
      "vector fields",
      "local upper estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.3070M"
    }
  }
}