{
  "id": "1812.08121",
  "version": "v1",
  "published": "2018-12-19T18:02:42.000Z",
  "updated": "2018-12-19T18:02:42.000Z",
  "title": "The reproducing kernel thesis for lower bounds of weighted composition operators",
  "authors": [
    "Isabelle Chalendar",
    "Jonathan R. Partington"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "It is shown that the property of being bounded below (having closed range) of weighted composition operators on Hardy and Bergman spaces can be tested by their action on a set of simple test functions, including reproducing kernels. The methods used in the analysis are based on the theory of reverse Carleson embeddings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-19T18:02:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "30H10",
      "32A36",
      "47B32"
    ],
    "keywords": [
      "weighted composition operators",
      "reproducing kernel thesis",
      "lower bounds",
      "reverse carleson embeddings",
      "simple test functions"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}