{
  "id": "1503.06165",
  "version": "v1",
  "published": "2015-03-20T17:11:36.000Z",
  "updated": "2015-03-20T17:11:36.000Z",
  "title": "Essentially Normal Composition Operators on $H^2$",
  "authors": [
    "Mor Katz"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove a simple criterion for essential normality of composition operators on the Hardy space induced by maps in a reasonably large class of analytic self-maps of the unit disk. By combining this criterion with boundary Carath\\'{e}odory-Fej\\'{e}r interpolation theory, we exhibit a parametrization for all rational self-maps of the unit disk which induce essentially normal composition operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-20T17:11:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33"
    ],
    "keywords": [
      "unit disk",
      "induce essentially normal composition operators",
      "analytic self-maps",
      "essential normality",
      "hardy space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150306165K"
    }
  }
}