{
  "id": "1406.0465",
  "version": "v1",
  "published": "2014-05-30T13:15:53.000Z",
  "updated": "2014-05-30T13:15:53.000Z",
  "title": "Convenient descriptions of weight functions in time-frequency analysis",
  "authors": [
    "Carmen Fernandez",
    "Antonio Galbis",
    "Joachim Toft"
  ],
  "comment": "8 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $v$ be a submultiplicative weight. Then we prove that $v$ satisfies GRS-condition, if and only if $v\\cdot e^{-\\ep |\\cdo |}$ is bounded for every positive $\\ep$. We use this equivalence to establish identification properties between weighted Lebesgue spaces, and between certain modulation spaces and Gelfand-Shilov spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-30T13:15:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weight functions",
      "time-frequency analysis",
      "convenient descriptions",
      "gelfand-shilov spaces",
      "satisfies grs-condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.0465F"
    }
  }
}