{
  "id": "0709.1430",
  "version": "v1",
  "published": "2007-09-10T16:06:46.000Z",
  "updated": "2007-09-10T16:06:46.000Z",
  "title": "Difference of composition operators in the Polydiscs",
  "authors": [
    "Zhongshan Fang",
    "Zehua Zhou"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper gives some simple estimates of the essential norm for the difference of composition operators induced by $\\phi$ and $\\psi$ acting on bounded function space in the unit polydiscs $U^n$, where $\\phi(z)$ and $\\psi(z)$be holomorphic self-maps of $U^n$. As its applications, a characterization of compact difference is given for composition operators acting on the bounded function spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-10T16:06:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "26A16",
      "32A16",
      "32A26",
      "32A37"
    ],
    "keywords": [
      "bounded function space",
      "essential norm",
      "simple estimates",
      "unit polydiscs",
      "holomorphic self-maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1430F"
    }
  }
}