{
  "id": "1607.02237",
  "version": "v1",
  "published": "2016-07-08T05:41:24.000Z",
  "updated": "2016-07-08T05:41:24.000Z",
  "title": "Solid hulls of weighted Banach spaces of entire functions",
  "authors": [
    "José Bonet",
    "Jari Taskinen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Given a continuous, radial, rapidly decreasing weight $v$ on the complex plane $\\mathbf{C}$, we study the solid hull of its associated weighted space $H_v^\\infty(\\mathbf{C})$ of all the entire functions $f$ such that $v|f|$ is bounded. The solid hull is found for a large class of weights satisfying the condition (B) of Lusky. Precise formulations are obtained for weights of the form $v(r)=\\exp(-ar^p), a>0, p>0$. Applications to spaces of multipliers are included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-08T05:41:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E15",
      "30D15",
      "30H20",
      "46B45",
      "46E05"
    ],
    "keywords": [
      "solid hull",
      "weighted banach spaces",
      "entire functions",
      "complex plane",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}