{
  "id": "math/0607307",
  "version": "v2",
  "published": "2006-07-13T13:01:26.000Z",
  "updated": "2006-07-25T16:19:07.000Z",
  "title": "A note on composition operators on Hardy spaces of the polydisk",
  "authors": [
    "Turgay Bayraktar"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CV",
    "math.FA"
  ],
  "abstract": "In this work, we prove that weak compactness of composition operator on $H^{1}(U^{n})$ coincides with its compactness. We also characterize bounded and compact composition operators on $H^{1}(U^{n}).$\\",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-25T16:19:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "47B38"
    ],
    "keywords": [
      "hardy spaces",
      "compact composition operators",
      "weak compactness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7307B"
    }
  }
}