{
  "id": "1311.3582",
  "version": "v1",
  "published": "2013-11-14T17:08:26.000Z",
  "updated": "2013-11-14T17:08:26.000Z",
  "title": "Rearrangement invariant optimal range for Hardy type operators",
  "authors": [
    "Javier Soria",
    "Pedro Tradacete"
  ],
  "comment": "25 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between optimal range and optimal domain for these operators is carefully analyzed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-14T17:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "46E30"
    ],
    "keywords": [
      "rearrangement invariant optimal range",
      "hardy type operators",
      "optimal range space",
      "rearrangement invariant spaces",
      "hardy operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3582S"
    }
  }
}