{
  "id": "1212.0045",
  "version": "v1",
  "published": "2012-11-30T23:55:39.000Z",
  "updated": "2012-11-30T23:55:39.000Z",
  "title": "Products of Toeplitz operators on the Fock space",
  "authors": [
    "Hon Rae Cho",
    "Jong-Do Park",
    "Kehe Zhu"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "Let $f$ and $g$ be functions, not identically zero, in the Fock space $F^2$ of $C_n$. We show that the product $T_fT_{\\bar g}$ of Toeplitz operators on $F^2$ is bounded if and only if $f(z)=e^{q(z)}$ and $g(z)=ce^{-q(z)}$, where $c$ is a nonzero constant and $q$ is a linear polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-30T23:55:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fock space",
      "toeplitz operators",
      "nonzero constant",
      "linear polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0045C"
    }
  }
}