{
  "id": "2107.01523",
  "version": "v1",
  "published": "2021-07-04T02:17:54.000Z",
  "updated": "2021-07-04T02:17:54.000Z",
  "title": "Volterra type integration operators between weighted Bergman spaces and Hardy spaces",
  "authors": [
    "Yongjiang Duan",
    "Siyu Wang",
    "Zipeng Wang"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "Let $\\mathcal{D}$ be the class of radial weights on the unit disk which satisfy both forward and reverse doubling conditions. Let $g$ be an analytic function on the unit disk $\\mathbb{D}$. We characterize bounded and compact Volterra type integration operators \\[ J_{g}(f)(z)=\\int_{0}^{z}f(\\lambda)g'(\\lambda)d\\lambda \\] between weighted Bergman spaces $L_{a}^{p}(\\omega )$ induced by $\\mathcal{D}$ weights and Hardy spaces $H^{q}$ for $0<p,q<\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-04T02:17:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weighted bergman spaces",
      "hardy spaces",
      "compact volterra type integration operators",
      "unit disk",
      "reverse doubling conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}