{
  "id": "1305.0226",
  "version": "v1",
  "published": "2013-05-01T17:17:02.000Z",
  "updated": "2013-05-01T17:17:02.000Z",
  "title": "Hardy's type inequality for the over critical exponent associated with the Dunkl transform",
  "authors": [
    "Rahmouni Atef"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "\\begin{abstract} For the Hardy space $H^p(\\mathbb{R}^{d})$, $ 0<p\\leq 1,$ we shall improve a Hardy's type inequality associated with Dunkl transform respect to the measures $d\\mu_{k}$ homogeneous of degree $\\gamma ,$ on the strip $(2\\gamma+d)(2-p)\\leq\\sigma<2\\gamma+d+p(N+1),$ where $N =[(2\\gamma+d)(1/p-1)]$ is the greatest integer not exceeding $(2\\gamma+d)(1/ p -1).$ \\end{abstract}",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-01T17:17:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical exponent",
      "dunkl transform respect",
      "hardys type inequality",
      "greatest integer",
      "hardy space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.0226A"
    }
  }
}