{
  "id": "2107.02481",
  "version": "v1",
  "published": "2021-07-06T08:50:15.000Z",
  "updated": "2021-07-06T08:50:15.000Z",
  "title": "Toeplitz operators on Bergman spaces with exponential weights",
  "authors": [
    "Yiyuan Zhang",
    "Xiaofeng Wang",
    "Zhangjian Hu"
  ],
  "comment": "26 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we focus on the weighted Bergman spaces $A_{\\varphi}^{p}$ in $\\mathbb{D}$ with $\\varphi\\in\\mathcal{W}_{0}$. We first give characterizations of those finite positive Borel measures $\\mu$ in $\\mathbb{D}$ such that the embedding $A_{\\varphi}^{p}\\subset L_{\\mu}^{q}$ is bounded or compact for $0<p,q<\\infty$. Then we describe bounded or compact Toeplitz operators $T_{\\mu}$ from one Bergman space $A_{\\varphi}^{p}$ to another $A_{\\varphi}^{q}$ for all possible $0<p,q<\\infty$. Finally, we characterize Schatten class Toeplitz operators on $A_{\\varphi}^{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-06T08:50:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35"
    ],
    "keywords": [
      "exponential weights",
      "characterize schatten class toeplitz operators",
      "finite positive borel measures",
      "compact toeplitz operators",
      "weighted bergman spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}