{
  "id": "math/0310345",
  "version": "v3",
  "published": "2003-10-21T20:35:09.000Z",
  "updated": "2006-11-02T22:42:06.000Z",
  "title": "On the Hilbert Transform and $C^{1+\\ze}$ Families of Lines",
  "authors": [
    "Michael T Lacey",
    "Xiaochun Li"
  ],
  "comment": "this paper has been withdrawn. A crucial estimate on a Lipschitz variant of the Kakeya maximal function has an incomplete proof",
  "categories": [
    "math.CA"
  ],
  "abstract": "this paper has been withdrawn. A crucial estimate on a Lipschitz variant of the Kakeya maximal function has an incomplete proof.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-11-02T22:42:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hilbert transform",
      "kakeya maximal function",
      "lipschitz variant",
      "crucial estimate",
      "incomplete proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}