{
  "id": "1102.1217",
  "version": "v1",
  "published": "2011-02-07T00:38:34.000Z",
  "updated": "2011-02-07T00:38:34.000Z",
  "title": "Real-Variable Characterizations Of Hardy Spaces Associated With Bessel Operators",
  "authors": [
    "Dachun Yang",
    "Dongyong Yang"
  ],
  "comment": "Anal. Appl. (Singap.) (to appear)",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Let $\\lambda>0$, $p\\in((2\\lz+1)/(2\\lz+2), 1]$, and $\\triangle_\\lambda\\equiv-\\frac{d^2}{dx^2}-\\frac{2\\lambda}{x} \\frac d{dx}$ be the Bessel operator. In this paper, the authors establish the characterizations of atomic Hardy spaces $H^p((0, \\infty), dm_\\lambda)$ associated with $\\triangle_\\lambda$ in terms of the radial maximal function, the nontangential maximal function, the grand maximal function, the Littlewood-Paley $g$-function and the Lusin-area function, where $dm_\\lambda(x)\\equiv x^{2\\lambda}\\,dx$. As an application, the authors further obtain the Riesz transform characterization of these Hardy spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-07T00:38:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B25",
      "42B35"
    ],
    "keywords": [
      "hardy spaces",
      "bessel operator",
      "real-variable characterizations",
      "grand maximal function",
      "nontangential maximal function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.1217Y"
    }
  }
}