{
  "id": "2502.02833",
  "version": "v1",
  "published": "2025-02-05T02:26:56.000Z",
  "updated": "2025-02-05T02:26:56.000Z",
  "title": "Numerical range of Toeplitz and Composition operators on weighted Bergman spaces",
  "authors": [
    "Anirban Sen",
    "Subhadip Halder",
    "Riddhick Birbonshi",
    "Kallol Paul"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted composition operators on weighted Bergman spaces and classify some sets which are the numerical range of composition operators. We investigate the inclusion of zero in the numerical range, and compute the radius of circle and ellipse contained in the numerical range of weighted composition operators on weighted Bergman spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-05T02:26:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47B33"
    ],
    "keywords": [
      "weighted bergman spaces",
      "numerical range",
      "weighted composition operators",
      "toeplitz operators",
      "harmonic symbol"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}