{
  "id": "math/0602426",
  "version": "v1",
  "published": "2006-02-20T13:08:14.000Z",
  "updated": "2006-02-20T13:08:14.000Z",
  "title": "Optimal domain for the Hardy operator",
  "authors": [
    "Olvido Delgado",
    "Javier Soria"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrable functions with respect to a vector measure defined on a $\\delta$-ring. A precise description is given for the case of the minimal Lorentz spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-20T13:08:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "46B25"
    ],
    "keywords": [
      "hardy operator",
      "optimal domain",
      "minimal lorentz spaces",
      "rearrangement invariant space",
      "precise description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2426D"
    }
  }
}