{
  "id": "1105.4374",
  "version": "v3",
  "published": "2011-05-22T21:24:13.000Z",
  "updated": "2011-09-15T10:26:51.000Z",
  "title": "A Sharp inequality for holomorphic functions on the polydisc",
  "authors": [
    "Marijan Markovic"
  ],
  "comment": "13 pages; Proc. Amer. Math. Soc. 2011",
  "categories": [
    "math.CV"
  ],
  "abstract": "In this paper we prove an isoperimetric inequality for holomorphic functions in the unit polydisc $\\mathbf U^n$. As a corollary we derive an inclusion relation between weighted Bergman and Hardy spaces of holomorphic functions in the polydisc which generalizes the classical Hardy--Littlewood relation $H^p\\subseteq A^{2p}$. Also, we extend some results due to Burbea.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-15T10:26:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holomorphic functions",
      "sharp inequality",
      "classical hardy-littlewood relation",
      "isoperimetric inequality",
      "hardy spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4374M"
    }
  }
}