{
  "id": "1208.4551",
  "version": "v2",
  "published": "2012-08-22T16:41:01.000Z",
  "updated": "2012-08-23T21:54:54.000Z",
  "title": "Besov regularity of the uniform empirical process",
  "authors": [
    "Gane Samb Lo",
    "Ahmadou Bamba Sow"
  ],
  "comment": "6 pages",
  "journal": "Journal des sciences, 9 (4), 2009, 30-35",
  "categories": [
    "math.PR"
  ],
  "abstract": "The paths of Brownian motion have been widely studied in the recent years relatively in Besov spaces $B_{p, \\infty}^\\a$. The results are the same as to the Brownian bridge. In fact these regularities properties are established in some sequence spaces $S_{p, \\infty}^\\a$ using an isomorphisim between them and $B_{p, \\infty}^\\a$. In this note, we are concerned with the regularity of the paths of the continuous version of the uniform empirical process in the space $S_{p, \\infty}^\\a$ and in one of his separable sub space $S_{p, \\infty}^{\\a, 0}$ for a suitable choice of $\\a$ and $p$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-23T21:54:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G17",
      "60G15",
      "60F15"
    ],
    "keywords": [
      "uniform empirical process",
      "besov regularity",
      "brownian motion",
      "besov spaces",
      "brownian bridge"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.4551S"
    }
  }
}