{
  "id": "1202.2229",
  "version": "v1",
  "published": "2012-02-10T10:12:18.000Z",
  "updated": "2012-02-10T10:12:18.000Z",
  "title": "Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals",
  "authors": [
    "Tuomas P. Hytönen",
    "Michael T. Lacey",
    "Carlos Pérez"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of positive dyadic operators. We give an elementary self-contained proof of this fact, which is simpler than the probabilistic arguments used for all previous results in this direction. Our argument also applies to the q-variation of certain Calderon-Zygmund operators, a stronger nonlinearity than the maximal truncations. As an application, we obtain new sharp weighted inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-10T10:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "sharp weighted bounds",
      "non-probabilistic proof",
      "singular integrals",
      "q-variation",
      "calderon-zygmund operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2229H"
    }
  }
}