{
  "id": "1501.01274",
  "version": "v1",
  "published": "2015-01-06T19:37:03.000Z",
  "updated": "2015-01-06T19:37:03.000Z",
  "title": "Note about square function estimates and uniformly rectifiable measures",
  "authors": [
    "Henri Martikainen",
    "Mihalis Mourgoglou"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We generalise and offer a different proof of a recent $L^2$ square function estimate on UR sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the $\\alpha$-numbers of Tolsa.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-06T19:37:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "square function estimate",
      "uniformly rectifiable measures",
      "ur sets",
      "short argument",
      "generalise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150101274M"
    }
  }
}