{
  "id": "0811.3087",
  "version": "v1",
  "published": "2008-11-19T11:24:56.000Z",
  "updated": "2008-11-19T11:24:56.000Z",
  "title": "L^p-summability of Riesz means for the sublaplacian on complex spheres",
  "authors": [
    "Valentina Casarino",
    "Marco M. Peloso"
  ],
  "comment": "Rapporto interno Politecnico di Torino, Novembre 2008",
  "doi": "10.1112/jlms/jdq067",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study the L^p-convergence of the Riesz means for the sublaplacian on the sphere S^{2n-1} in the complex n-dimensional space C^n. We show that the Riesz means of order delta of a function f converge to f in L^p(S^{2n-1}) when delta>delta(p):=(2n-1)|1\\2-1\\p|. The index delta(p) improves the one found by Alexopoulos and Lohoue', $2n|1\\2-1\\p|$, and it coincides with the one found by Mauceri and, with different methods, by Mueller in the case of sublaplacian on the Heisenberg group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-19T11:24:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riesz means",
      "complex spheres",
      "sublaplacian",
      "complex n-dimensional space",
      "order delta"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3087C"
    }
  }
}