{
  "id": "0906.2664",
  "version": "v1",
  "published": "2009-06-15T11:46:53.000Z",
  "updated": "2009-06-15T11:46:53.000Z",
  "title": "Boundedness of the square function and rectifiability",
  "authors": [
    "Svitlana Mayboroda",
    "Alexander Volberg"
  ],
  "journal": "Comptes rendus - Mathematique 347 (2009), pp. 1051-1056",
  "doi": "10.1016/j.crma.2009.07.007",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Following a recent paper by X. Tolsa [JFA, 2008] we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure $H^n$ ($n$ is interger) on a set $E$ implies that $E$ is rectifiable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-15T11:46:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundedness",
      "rectifiability",
      "riesz transforms",
      "hausdorff measure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2664M"
    }
  }
}