{
  "id": "2009.01951",
  "version": "v1",
  "published": "2020-09-03T22:56:09.000Z",
  "updated": "2020-09-03T22:56:09.000Z",
  "title": "Zero products of Toeplitz operators on Reinhardt domains",
  "authors": [
    "Zeljko Cuckovic",
    "Zhenghui Huo",
    "Sonmez Sahutoglu"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "Let $\\Omega$ be a bounded Reinhardt domain in $\\mathbb{C}^n$ and $\\phi_1,\\ldots,\\phi_m$ be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operators $T_{\\phi_m}\\cdots T_{\\phi_1}=0$ on the Bergman space on $\\Omega$, then $\\phi_j=0$ for some $j$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-03T22:56:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toeplitz operators",
      "zero products",
      "finite sums",
      "bounded reinhardt domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}