{
  "id": "2201.09249",
  "version": "v1",
  "published": "2022-01-23T12:30:05.000Z",
  "updated": "2022-01-23T12:30:05.000Z",
  "title": "Semigroups of weighted composition operators on spaces of holomorphic functions",
  "authors": [
    "I. Chalendar",
    "J. R. Partington"
  ],
  "comment": "34 pages, 1 figure",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "This paper is based on three hours of lectures given by the first author in the \"Focus Program on Analytic Function Spaces and their Applications\" July 1 -- December 31, 2021, organized by the Fields Institute for Research in Mathematical Sciences. The goal of this paper is to give an introduction to the properties of discrete and continuous $C_0$-semigroups of (weighted) composition operators on various spaces of analytic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-23T12:30:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H10",
      "30H20",
      "30D05",
      "47B33",
      "47D06"
    ],
    "keywords": [
      "weighted composition operators",
      "holomorphic functions",
      "semigroups",
      "analytic function spaces",
      "fields institute"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}