{
  "id": "1702.05714",
  "version": "v1",
  "published": "2017-02-19T08:05:43.000Z",
  "updated": "2017-02-19T08:05:43.000Z",
  "title": "Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces",
  "authors": [
    "Maurice de Gosson",
    "Joachim Toft"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when H\\\"ormander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity and Schatten-von Neumann properties to the Born-Jordan calculus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-19T08:05:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modulation spaces",
      "born-jordan operator",
      "hörmander classes",
      "continuity properties",
      "schatten-von neumann properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}