{
  "id": "1001.4724",
  "version": "v2",
  "published": "2010-01-26T15:32:58.000Z",
  "updated": "2010-03-05T16:15:50.000Z",
  "title": "Sharp weighted estimates for approximating dyadic operators",
  "authors": [
    "David Cruz-Uribe",
    "Jose Maria Martell",
    "Carlos Perez"
  ],
  "comment": "To appear in the Electronic Research Announcements in Mathematical Sciences",
  "journal": "Electron. Res. Announc. Math. Sci. 17 (2010), 12-19",
  "doi": "10.3934/era.2010.17.12",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We give a new proof of the sharp weighted $L^2$ inequality ||T||_{L^2(w)} \\leq c [w]_{A_2} where $T$ is the Hilbert transform, a Riesz transform, the Beurling-Ahlfors operator or any operator that can be approximated by Haar shift operators. Our proof avoids the Bellman function technique and two weight norm inequalities. We use instead a recent result due to A. Lerner to estimate the oscillation of dyadic operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-05T16:15:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "approximating dyadic operators",
      "sharp weighted estimates",
      "bellman function technique",
      "weight norm inequalities",
      "haar shift operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4724C"
    }
  }
}