{
  "id": "1105.2888",
  "version": "v1",
  "published": "2011-05-14T11:12:09.000Z",
  "updated": "2011-05-14T11:12:09.000Z",
  "title": "Sharp Estimates for $p$-Adic Hardy, Hardy-Littlewood-Pólya Operators and Commutators",
  "authors": [
    "Zunwei Fu",
    "Qingyan Wu",
    "Shanzhen Lu"
  ],
  "comment": "16pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we get the sharp estimates of the $p$-adic Hardy and Hardy-Littlewood-P\\'olya operators on $L^q(|x|^{\\alpha}_pdx)$. Also, we prove that the commutators generated by the $p$-adic Hardy operators (Hardy-Littlewood-P\\'olya operators) and the central BMO functions are bounded on $L^q(|x|^{\\alpha}_pdx)$, more generally, on Herz spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-14T11:12:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G10",
      "11F85"
    ],
    "keywords": [
      "sharp estimates",
      "hardy-littlewood-pólya operators",
      "commutators",
      "hardy-littlewood-polya operators",
      "central bmo functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2888F"
    }
  }
}