{
  "id": "1312.0471",
  "version": "v5",
  "published": "2013-12-02T14:28:49.000Z",
  "updated": "2014-06-18T12:23:15.000Z",
  "title": "Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball",
  "authors": [
    "Yong-Xin Gao",
    "Ze-Hua Zhou"
  ],
  "comment": "23 Pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "In this paper, we investigate the spectra of invertible weighted composition operators with automorphism symbols, on Hardy space $H^2(\\mathbb{B}_N)$ and weighted Bergman spaces $A_\\alpha^2(\\mathbb{B}_N)$, where $\\mathbb{B}_N$ is the unit ball of the $N$-dimensional complex space. By taking $N=1$, $\\mathbb{B}_N=\\mathbb{D}$ the unit disc, we also complete the discussion about the spectrum of a weighted composition operator when it is invertible on $H^2(\\mathbb{D})$ or $A_\\alpha^2(\\mathbb{D})$.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-06-18T12:23:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "32A30",
      "32H02",
      "47B33"
    ],
    "keywords": [
      "invertible weighted composition operators",
      "weighted bergman spaces",
      "unit ball",
      "dimensional complex space",
      "hardy space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.0471G"
    }
  }
}