{
  "id": "1003.5059",
  "version": "v1",
  "published": "2010-03-26T07:55:48.000Z",
  "updated": "2010-03-26T07:55:48.000Z",
  "title": "Level sets and Composition operators on the Dirichlet space",
  "authors": [
    "O. El-Fallah",
    "K. Kellay",
    "M. Shabankhah",
    "H. Youssfi"
  ],
  "journal": "Journal of Functional Analysis (2011) to appear",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We consider composition operators in the Dirichlet space of the unit disc in the plane. Various criteria on boundedness, compactness and Hilbert-Schmidt class membership are established. Some of these criteria are shown to be optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-26T07:55:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "composition operators",
      "dirichlet space",
      "level sets",
      "hilbert-schmidt class membership",
      "unit disc"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.5059E"
    }
  }
}