{
  "id": "0902.2765",
  "version": "v1",
  "published": "2009-02-16T19:23:01.000Z",
  "updated": "2009-02-16T19:23:01.000Z",
  "title": "Besov-Type Spaces on $R^d$ and Integrability for the Dunkl Transform",
  "authors": [
    "Chokri Abdelkefi",
    "Jean-Philippe Anker",
    "Feriel Sassi",
    "Mohamed Sifi"
  ],
  "journal": "SIGMA 5 (2009), 019, 15 pages",
  "doi": "10.3842/SIGMA.2009.019",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-16T19:23:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dunkl transform",
      "besov-type spaces",
      "interpolation formula",
      "schwartz space",
      "real method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2009,
      "month": "Feb",
      "volume": 5,
      "pages": "019"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SIGMA...5..019A"
    }
  }
}