{
  "id": "math/0701732",
  "version": "v1",
  "published": "2007-01-25T08:33:25.000Z",
  "updated": "2007-01-25T08:33:25.000Z",
  "title": "A counterexample for boundedness of pseudo-differential operators on modulation spaces",
  "authors": [
    "Mitsuru Sugimoto",
    "Naohito Tomita"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "We prove that pseudo-differential operators with symbols in the class $S_{1,\\delta}^0$ ($0<\\delta<1$) are not always bounded on the modulation space $M^{p,q}$ ($q\\neq2$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-25T08:33:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "47G30"
    ],
    "keywords": [
      "pseudo-differential operators",
      "modulation space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1732S"
    }
  }
}