{
  "id": "1009.0895",
  "version": "v2",
  "published": "2010-09-05T07:37:10.000Z",
  "updated": "2010-09-07T23:13:32.000Z",
  "title": "The inclusion relation between Sobolev and modulation spaces",
  "authors": [
    "Masaharu Kobayashi",
    "Mitsuru Sugimoto"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "The inclusion relations between the $L^p$-Sobolev spaces and the modulation spaces is determined explicitly. As an application, mapping properties of unimodular Fourier multiplier $e^{i|D|^\\alpha}$ between $L^p$-Sobolev spaces and modulation spaces are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-07T23:13:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modulation spaces",
      "inclusion relation",
      "sobolev spaces",
      "unimodular fourier multiplier"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0895K"
    }
  }
}