{
  "id": "1601.06776",
  "version": "v1",
  "published": "2016-01-25T06:57:44.000Z",
  "updated": "2016-01-25T06:57:44.000Z",
  "title": "Composition operators on Orlicz-Sobolev spaces",
  "authors": [
    "Ratan Kumar Giri",
    "Debajyoti Choudhuri"
  ],
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "The kernel of composition operator $C_T$ on Orlicz-Sobolev space is obtained. Using the kernel, a necessary and a sufficient condition for injectivity of composition operator $C_T$ has been established. Composition operators on Orlicz-Sobolev space with finite ascent as well as infinite ascent have been characterized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-25T06:57:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "46E30",
      "46E35"
    ],
    "keywords": [
      "composition operator",
      "orlicz-sobolev space",
      "infinite ascent",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160106776G"
    }
  }
}