{
  "id": "math/0001030",
  "version": "v2",
  "published": "2000-01-06T02:14:44.000Z",
  "updated": "2000-07-11T01:13:53.000Z",
  "title": "A remark on circular means of Fourier transforms of measures",
  "authors": [
    "Terence Tao"
  ],
  "comment": "The proof of the main result in this paper is incorrect, and this paper has been withdrawn",
  "categories": [
    "math.CA"
  ],
  "abstract": "In a recent paper of Wolff the optimal decay of circular L^p means of compactly supported measures of finite energy was given for p>=2, with application to Falconer's distance problem. The question was then raised in that paper as to whether any non-trivial improvement to these estimates were available for p < 2. We answer this question in the negative.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-07-11T01:13:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10",
      "28A75"
    ],
    "keywords": [
      "fourier transforms",
      "circular means",
      "falconers distance problem",
      "finite energy",
      "non-trivial improvement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}