{
  "id": "1701.04425",
  "version": "v1",
  "published": "2017-01-16T19:16:03.000Z",
  "updated": "2017-01-16T19:16:03.000Z",
  "title": "A note on truncations in fractional Sobolev spaces",
  "authors": [
    "Roberta Musina",
    "Alexander I. Nazarov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Nemytskii operators $u\\mapsto |u|$ and $u\\mapsto u^{\\pm}$ in fractional Sobolev spaces $H^s(\\mathbb R^n)$, $s>1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-16T19:16:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "47H30"
    ],
    "keywords": [
      "fractional sobolev spaces",
      "truncations",
      "nemytskii operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}