{
  "id": "0912.3010",
  "version": "v1",
  "published": "2009-12-15T21:29:39.000Z",
  "updated": "2009-12-15T21:29:39.000Z",
  "title": "A Calderon Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain",
  "authors": [
    "Fedor Nazarov",
    "Richard Oberlin",
    "Christoph Thiele"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We introduce a Calderon Zygmund decomposition such that the bad function has vanishing integral against a number of pure frequencies. Then we prove a variation norm variant of a maximal inequality for several frequencies due to Bourgain. To obtain the full range of Lp estimates we apply the multi frequency Calderon Zygmund decomposition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-15T21:29:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "multiple frequencies",
      "multi frequency calderon zygmund decomposition",
      "application",
      "variation norm variant",
      "pure frequencies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.3010N"
    }
  }
}