{
  "id": "1003.1567",
  "version": "v1",
  "published": "2010-03-08T08:06:51.000Z",
  "updated": "2010-03-08T08:06:51.000Z",
  "title": "Hardy spaces and unbounded quasidisks",
  "authors": [
    "Yong Chan Kim",
    "Toshiyuki Sugawa"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "We study the maximal number $0\\le h\\le+\\infty$ for a given plane domain $\\Omega$ such that $f\\in H^p$ whenever $p<h$ and $f$ is analytic in the unit disk with values in $\\Omega.$ One of our main contributions is an estimate of $h$ for unbounded $K$-quasidisks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-08T08:06:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D55",
      "30C50",
      "46E15"
    ],
    "keywords": [
      "hardy spaces",
      "unbounded quasidisks",
      "main contributions",
      "unit disk",
      "maximal number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1567K"
    }
  }
}