{
  "id": "1910.01475",
  "version": "v1",
  "published": "2019-10-03T13:59:33.000Z",
  "updated": "2019-10-03T13:59:33.000Z",
  "title": "Weighted composition operators: isometries and asymptotic behaviour",
  "authors": [
    "I. Chalendar",
    "J. R. Partington"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper studies the behaviour of iterates of weigh\\-ted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space $H^2$. Questions relating to uniform, strong and weak convergence are resolved in many cases. Connected to this is the question when a weighted composition operators is an isometry, and new results are given in the case of the Hardy and Bergman spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-03T13:59:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "30H10",
      "30H20",
      "30D05"
    ],
    "keywords": [
      "weighted composition operators",
      "asymptotic behaviour",
      "bergman spaces",
      "weak convergence",
      "analytic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}