{
  "id": "1506.00163",
  "version": "v1",
  "published": "2015-05-30T20:48:03.000Z",
  "updated": "2015-05-30T20:48:03.000Z",
  "title": "On Toeplitz operators between Fock spaces",
  "authors": [
    "Tesfa Mengestie"
  ],
  "categories": [
    "math.CV",
    "math.FA"
  ],
  "abstract": "We study mapping properties of Toeplitz operators $T_\\mu$ associated to nonnegative Borel measure $\\mu$ on the complex space $\\mathbb{C}^n$. We, in particular, describe the bounded and compact operators $T_\\mu$ acting between Fock spaces in terms of the objects $t$-Berezin transforms, averaging functions, and averaging sequences of their inducing measures $\\mu$. An asymptotic estimate for the norms of the operators has been also obtained. The results obtained extend a recent work of Z. Hu and X. Lv and fills the remaining gap when both the smallest and largest Banach--Fock spaces are taken into account.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-30T20:48:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toeplitz operators",
      "largest banach-fock spaces",
      "study mapping properties",
      "compact operators",
      "berezin transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}