{
  "id": "1011.1767",
  "version": "v1",
  "published": "2010-11-08T10:45:14.000Z",
  "updated": "2010-11-08T10:45:14.000Z",
  "title": "The Hilbert transform does not map L^1(Mw) to L^{1,\\infty}(w)",
  "authors": [
    "Maria Carmen Reguera",
    "Christoph Thiele"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove that the analogue for the Hilbert transform of a classical weighted inequality by Fefferman and Stein for the Hardy Littlewood maximal operator does not hold. This is a sequel to paper arXiv:1008.3943 by the first author, which shows the same for the general Haar multiplier operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-08T10:45:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "hilbert transform",
      "general haar multiplier operator",
      "hardy littlewood maximal operator",
      "first author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1767R"
    }
  }
}