{
  "id": "1311.1405",
  "version": "v3",
  "published": "2013-11-06T14:28:34.000Z",
  "updated": "2016-04-26T12:31:27.000Z",
  "title": "Sharp results for the Weyl product on modulation spaces",
  "authors": [
    "Elena Cordero",
    "Joachim Toft",
    "Patrik Wahlberg"
  ],
  "comment": "In this update we have corrected a sign error in the exponent in Eq. (1.7), and its consequences in Prop. 1.5 and Eq. (2.30)",
  "journal": "J. Funct. Anal. 267 (8), 3016-3057, 2014",
  "categories": [
    "math.FA"
  ],
  "abstract": "We give sufficient and necessary conditions on the Lebesgue exponents for the Weyl product to be bounded on modulation spaces. The sufficient conditions are obtained as the restriction to $N=2$ of a result valid for the $N$-fold Weyl product. As a byproduct, we obtain sharp conditions for the twisted convolution to be bounded on Wiener amalgam spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-14T10:01:12.000Z",
      "comment": "39 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-04-26T12:31:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "42B35",
      "44A35",
      "46E35",
      "46F12"
    ],
    "keywords": [
      "modulation spaces",
      "sharp results",
      "wiener amalgam spaces",
      "fold weyl product",
      "lebesgue exponents"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1405C"
    }
  }
}