{
  "id": "1604.01214",
  "version": "v1",
  "published": "2016-04-05T10:42:41.000Z",
  "updated": "2016-04-05T10:42:41.000Z",
  "title": "Integral operators mapping into the space of bounded analytic functions",
  "authors": [
    "Manuel D. Contreras",
    "José A. Peláez",
    "Christian Pommerenke",
    "Jouni Rättyä"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We address the problem of studying the boundedness, compactness and weak compactness of the integral operators $T_g(f)(z)=\\int_0^z f(\\zeta)g'(\\zeta)\\,d\\zeta$ acting from a Banach space $X$ into $H^\\infty$. We obtain a collection of general results which are appropriately applied and mixed with specific techniques in order to solve the posed questions to particular choices of $X$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-05T10:42:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded analytic functions",
      "integral operators mapping",
      "specific techniques",
      "general results",
      "banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160401214C"
    }
  }
}