{
  "id": "1109.5275",
  "version": "v1",
  "published": "2011-09-24T14:57:30.000Z",
  "updated": "2011-09-24T14:57:30.000Z",
  "title": "Semigroups of Composition Operators on Hardy Spaces of the half-plane",
  "authors": [
    "Athanasios G. Arvanitidis"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We identify the semigroups consisting of bounded composition operators on the Hardy spaces $H^p(\\U)$ of the upper half-plane. We show that any such semigroup is strongly continuous on $H^p(\\U)$ but not uniformly continuous and we identify the infinitesimal generator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-24T14:57:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D03",
      "47B33",
      "30H10"
    ],
    "keywords": [
      "hardy spaces",
      "upper half-plane",
      "bounded composition operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5275A"
    }
  }
}