{
  "id": "1504.05720",
  "version": "v1",
  "published": "2015-04-22T10:28:24.000Z",
  "updated": "2015-04-22T10:28:24.000Z",
  "title": "Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces",
  "authors": [
    "Shahla Molahajloo",
    "Götz E. Pfander"
  ],
  "journal": "Math. Model. Nat. 8 (1), 175-192, 2013",
  "doi": "10.1051/mmnp/20138113 10.1051/mmnp/20127101",
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce new classes of modulation spaces over phase space. By means of the Kohn-Nirenberg correspondence, these spaces induce norms on pseudo-differential operators that bound their operator norms on $L^p$-spaces, Sobolev spaces, and modulation spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-22T10:28:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G30",
      "42B35",
      "35S05",
      "46E35"
    ],
    "keywords": [
      "modulation spaces",
      "pseudo-differential operators",
      "boundedness",
      "spaces induce norms",
      "operator norms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}