{
  "id": "1903.08429",
  "version": "v1",
  "published": "2019-03-20T10:46:04.000Z",
  "updated": "2019-03-20T10:46:04.000Z",
  "title": "Composition operators on spaces of double Dirichlet series",
  "authors": [
    "Frédéric Bayart",
    "Jaime Castillo-Medina",
    "Domingo García",
    "Manuel Maestre",
    "Pablo Sevilla-Peris"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series $\\HCdos$. We also show how the composition operators of this space of Dirichlet series are related to the composition operators of the corresponding spaces of holomorphic functions. Finally, we give a characterization of the superposition operators in $\\HC$ and in the spaces $\\mathcal{H}^p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-20T10:46:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "study composition operators",
      "superposition operators",
      "characterization",
      "holomorphic functions",
      "bounded double dirichlet series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}