{
  "id": "1708.09263",
  "version": "v1",
  "published": "2017-08-30T13:38:55.000Z",
  "updated": "2017-08-30T13:38:55.000Z",
  "title": "Rearrangements and Leibniz-type rules of mean oscillations",
  "authors": [
    "Zoltan Leka"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We shall prove a rearrangement inequality in probability measure spaces in order to obtain sharp Leibniz-type rules of mean oscillations in Lp-spaces and rearrangement invariant Banach function spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-30T13:38:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "28A25",
      "39B62"
    ],
    "keywords": [
      "mean oscillations",
      "rearrangement invariant banach function spaces",
      "sharp leibniz-type rules",
      "probability measure spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}