{
  "id": "1807.06999",
  "version": "v1",
  "published": "2018-07-18T15:41:04.000Z",
  "updated": "2018-07-18T15:41:04.000Z",
  "title": "Integration and differentiation operators between growth spaces",
  "authors": [
    "Evgueni Doubtsov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "For arbitrary radial weights $w$ and $u$, we study the integration operator between the growth spaces $H_w^\\infty$ and $H_u^\\infty$ on the complex plane. Also, we investigate the differentiation operator on the Hardy growth spaces $H_w^p$, $0<p<\\infty$, defined on the unit disk or on the complex plane. As in the case $p=\\infty$, the log-convex weights $w$ play a special role in the problems under consideration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-18T15:41:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D15",
      "26A51",
      "30H99",
      "47B38"
    ],
    "keywords": [
      "differentiation operator",
      "complex plane",
      "arbitrary radial weights",
      "hardy growth spaces",
      "unit disk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}