{
  "id": "0803.3140",
  "version": "v1",
  "published": "2008-03-21T10:41:54.000Z",
  "updated": "2008-03-21T10:41:54.000Z",
  "title": "Sharpness of some properties of Wiener amalgam and modulation spaces",
  "authors": [
    "Elena Cordero",
    "Fabio Nicola"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "We prove sharp estimates for the dilation operator $f(x)\\longmapsto f(\\lambda x)$, when acting on Wiener amalgam spaces $W(L^p,L^q)$. Scaling arguments are also used to prove the sharpness of the known convolution and pointwise relations for modulation spaces $M^{p,q}$, as well as the optimality of an estimate for the Schr\\\"odinger propagator on modulation spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-21T10:41:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "46E35"
    ],
    "keywords": [
      "modulation spaces",
      "properties",
      "wiener amalgam spaces",
      "sharp estimates",
      "dilation operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3140C"
    }
  }
}