{
  "id": "2004.04087",
  "version": "v1",
  "published": "2020-04-08T16:10:35.000Z",
  "updated": "2020-04-08T16:10:35.000Z",
  "title": "Volterra operators and Hankel forms on Bergman spaces of Dirichlet series",
  "authors": [
    "H. Bommier-Hato"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "For a Dirichlet series g, we study the Volterra operator Tg of symbol g, acting on a class of weighted Hilbert spaces of Dirichlet series. We obtain sufficient / necessary conditions for Tg to be bounded (resp. compact), involving BMO and Bloch type spaces on some half-plane. We also investigate the membership of Tg in Schatten classes. We also relate the boundedness of Tg to the boundedness of a multiplicative Hankel form of symbol g.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-08T16:10:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet series",
      "bergman spaces",
      "bloch type spaces",
      "volterra operator tg",
      "weighted hilbert spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}