{
  "id": "math/0411348",
  "version": "v1",
  "published": "2004-11-16T00:06:38.000Z",
  "updated": "2004-11-16T00:06:38.000Z",
  "title": "Besov spaces for Schrodinger operators with barrier potentials",
  "authors": [
    "John J. Benedetto",
    "Shijun Zheng"
  ],
  "comment": "35 pages",
  "categories": [
    "math.CA",
    "math.SP"
  ],
  "abstract": "Let H be a Schrodinger operator with barrier potential on the real line. We define the Besov spaces for H by developing the associated Littlewood-Paley theory. This theory depends on the decay estimates of the spectral operator in the high and low energies. We also prove a Mikhlin-Hormander type multiplier theorem on these spaces, including the Lp boundedness result. Our approach has potential applications to other Schrodinger operators with short-range potentials, as well as in higher dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-16T00:06:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "35P25"
    ],
    "keywords": [
      "schrodinger operator",
      "barrier potential",
      "besov spaces",
      "mikhlin-hormander type multiplier theorem",
      "lp boundedness result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11348B"
    }
  }
}