{
  "id": "1810.04795",
  "version": "v1",
  "published": "2018-10-09T19:32:26.000Z",
  "updated": "2018-10-09T19:32:26.000Z",
  "title": "Continuous characterization of Besov spaces of variable smoothness and integrability",
  "authors": [
    "Douadi Drihem",
    "Salah Ben Mahmoud"
  ],
  "comment": "22 pages, submitted. arXiv admin note: text overlap with arXiv:1601.00309",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper the authors obtain a new equivalent norms of the Besov spaces of variable smoothness and integrability. Our main tools are the continuous version of Calderon reproducing formula, maximal inequalities and variable exponent technique, but allowing the parameters to vary from point to point will raise extra difficulties which, in general, are overcome by imposing regularity assumptions on these exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-09T19:32:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "besov spaces",
      "variable smoothness",
      "continuous characterization",
      "integrability",
      "raise extra difficulties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}