{
  "id": "2010.04708",
  "version": "v1",
  "published": "2020-10-09T17:53:12.000Z",
  "updated": "2020-10-09T17:53:12.000Z",
  "title": "Composition Operators on $H(b)$ spaces of Unit Ball in $\\mathbb{C}^n$",
  "authors": [
    "Sibel Sahin"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "In this work the composition operators on deBranges-Rovnyak spaces $H(b)$ on the unit ball of $\\mathbb{C}^n$ are studied. The boundedness and compactness of composition operators are characterized through Carleson conditions over the Clark measure associated to the defining function $b$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-09T17:53:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "32A37"
    ],
    "keywords": [
      "composition operators",
      "unit ball",
      "debranges-rovnyak spaces",
      "carleson conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}