{
  "id": "2308.15045",
  "version": "v1",
  "published": "2023-08-29T06:03:11.000Z",
  "updated": "2023-08-29T06:03:11.000Z",
  "title": "Hilbert-Schmidt composition-differentiation operators on the unit ball",
  "authors": [
    "Ali Abkar"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We use the notion of radial derivative to introduce composition-differentiation operators on the Hardy and Bergman spaces of the unit ball and the polydisk. We seek for necessary and sufficient conditions on the inducing functions to ensure that the composition-differentiation operator is Hilbert-Schmidt.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-29T06:03:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "47B32",
      "32A25"
    ],
    "keywords": [
      "hilbert-schmidt composition-differentiation operators",
      "unit ball",
      "bergman spaces",
      "sufficient conditions",
      "inducing functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}