{
  "id": "1212.4715",
  "version": "v3",
  "published": "2012-12-19T15:58:30.000Z",
  "updated": "2017-02-21T14:24:13.000Z",
  "title": "Vector-valued extensions for fractional integrals of Laguerre expansions",
  "authors": [
    "Ó. Ciaurri",
    "L. Roncal"
  ],
  "comment": "21 pages. Revised version",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We prove some vector-valued inequalities for fractional integrals defined in the context of two different orthonormal systems of Laguerre functions. Our results are based on estimates of the corresponding kernels with precise control of the parameters involved. As an application, mixed norm estimates for the fractional integrals related to the harmonic oscillator are deduced.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-10T11:10:04.000Z",
      "comment": "20 pages. Revised version. A gap in a proof has been fixed",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2017-02-21T14:24:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laguerre expansions",
      "vector-valued extensions",
      "laguerre functions",
      "harmonic oscillator",
      "precise control"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4715C"
    }
  }
}