{
  "id": "2212.02172",
  "version": "v1",
  "published": "2022-12-05T11:14:29.000Z",
  "updated": "2022-12-05T11:14:29.000Z",
  "title": "Boundedness and compactness of weighted composition operators and monomial operators",
  "authors": [
    "I. Chalendar",
    "J. R. Partington"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "This paper characterises the boundedness and compactness of Agler--McCarthy monomial operators by reducing them to weighted composition operators and deriving explicit Carleson measure criteria on the half-plane. The results are illustrated by examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-05T11:14:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H10",
      "47B33"
    ],
    "keywords": [
      "weighted composition operators",
      "compactness",
      "boundedness",
      "deriving explicit carleson measure criteria",
      "agler-mccarthy monomial operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}