{
  "id": "1308.2214",
  "version": "v1",
  "published": "2013-08-09T19:39:00.000Z",
  "updated": "2013-08-09T19:39:00.000Z",
  "title": "Toeplitzness of composition operators in several variables",
  "authors": [
    "Zeljko Cuckovic",
    "Trieu Le"
  ],
  "comment": "13 pages, to appear in Complex Variables and Elliptic Equations",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "Motivated by the work of Nazarov and Shapiro on the unit disk, we study asymptotic Toeplitzness of composition operators on the Hardy space of the unit sphere in C^n. We extend some of their results but we also show that new phenomena appear in higher dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-09T19:39:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "47B35"
    ],
    "keywords": [
      "composition operators",
      "study asymptotic toeplitzness",
      "unit disk",
      "hardy space",
      "unit sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2214C"
    }
  }
}