{
  "id": "0907.0350",
  "version": "v1",
  "published": "2009-07-02T11:53:52.000Z",
  "updated": "2009-07-02T11:53:52.000Z",
  "title": "Composition operators on Hardy spaces of a half plane",
  "authors": [
    "Sam Elliott",
    "Michael T. Jury"
  ],
  "doi": "10.1112/blms/bdr110",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We prove that a composition operator is bounded on the Hardy space $H^2$ of the right half-plane if and only if the inducing map fixes the point at infinity non-tangentially, and has a finite angular derivative $\\lambda$ there. In this case the norm, essential norm, and spectral radius of the operator are all equal to $\\sqrt{\\lambda}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-02T11:53:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33"
    ],
    "keywords": [
      "composition operator",
      "hardy space",
      "half plane",
      "spectral radius",
      "right half-plane"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0350E"
    }
  }
}