{
  "id": "1202.2824",
  "version": "v3",
  "published": "2012-02-13T19:25:11.000Z",
  "updated": "2012-05-05T17:43:48.000Z",
  "title": "A simple proof of the $A_2$ conjecture",
  "authors": [
    "Andrei K. Lerner"
  ],
  "comment": "v2: some typos corrected v3: final version, accepted to IMRN",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We give a simple proof of the $A_2$ conjecture proved recently by T. Hyt\\\"onen. Our proof avoids completely the notion of the Haar shift operator, and it is based only on the \"local mean oscillation decomposition\". Also our proof yields a simple proof of the \"two-weight conjecture\" as well.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-05-05T17:43:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple proof",
      "local mean oscillation decomposition",
      "haar shift operator",
      "proof avoids",
      "proof yields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2824L"
    }
  }
}