{
  "id": "2303.15004",
  "version": "v1",
  "published": "2023-03-27T08:46:12.000Z",
  "updated": "2023-03-27T08:46:12.000Z",
  "title": "Hankel operators on vector-valued Bergman spaces with exponential weights",
  "authors": [
    "Jian-xiang Dong",
    "Yu-feng Lu"
  ],
  "comment": "16 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\mathcal{H}$ be a separable Hilbert space and let $A^{2}_{\\varphi}(\\mathcal{H})$ be the $\\mathcal{H}$-valued Bergman spaces with exponential weights. In the present paper, we give the complete characterizations for the boundedness and compactness of Hankel operators on $A^{2}_{\\varphi}(\\mathcal{H})$. For $p\\geq2$, the Schatten $p$-classes of the Hankel operator with conjugate analytic symbols are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-27T08:46:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "32A36"
    ],
    "keywords": [
      "hankel operator",
      "vector-valued bergman spaces",
      "exponential weights",
      "conjugate analytic symbols",
      "separable hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}