{
  "id": "1208.5832",
  "version": "v1",
  "published": "2012-08-29T04:21:46.000Z",
  "updated": "2012-08-29T04:21:46.000Z",
  "title": "Fourier Multipliers and Littlewood-Paley For Modulation Spaces",
  "authors": [
    "Parasar Mohanty",
    "Saurabh Shrivastava"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "In this paper we have studied Fourier multipliers and Littlewood-Paley square functions in the context of modulation spaces. We have also proved that any bounded linear operator from modulation space $\\mathcal{M}_{p,q}(\\R^n), 1\\leq p,q\\leq \\infty,$ into itself possesses an $l_2-$valued extension. This is an analogue of a well known result due to Marcinkiewicz and Zygmund on classical $L^p-$spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-29T04:21:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A45",
      "42B15",
      "42B25",
      "42B35"
    ],
    "keywords": [
      "modulation space",
      "fourier multipliers",
      "littlewood-paley square functions",
      "bounded linear operator",
      "valued extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.5832M"
    }
  }
}