{
  "id": "1901.08866",
  "version": "v1",
  "published": "2019-01-25T13:25:42.000Z",
  "updated": "2019-01-25T13:25:42.000Z",
  "title": "Hardy-type Inequalities for Dunkl Operators",
  "authors": [
    "Andrei Velicu"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study various variants of the Hardy inequality for Dunkl operators, including the classical inequality, $L^p$ inequalities, the Hardy inequality for domains, an improved Hardy inequality, as well as the Rellich inequality and a special case of the Caffarelli-Kohn-Nirenberg inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-25T13:25:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dunkl operators",
      "hardy-type inequalities",
      "hardy inequality",
      "caffarelli-kohn-nirenberg inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}