{
  "id": "math/0609185",
  "version": "v1",
  "published": "2006-09-06T19:17:14.000Z",
  "updated": "2006-09-06T19:17:14.000Z",
  "title": "Littlewood-Paley theorem for Schroedinger operators",
  "authors": [
    "Shijun Zheng"
  ],
  "comment": "eight pages. submitted",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "Let $H$ be a Schr\\\"odinger operator on $\\R^n$. Under a polynomial decay condition for the kernel of its spectral operator, we show that the Besov spaces and Triebel-Lizorkin spaces associated with $H$ are well defined. We further give a Littlewood-Paley characterization of $L_p$ spaces as well as Sobolev spaces in terms of dyadic functions of $H$. This generalizes and strengthens the previous result when the heat kernel of $H$ satisfies certain upper Gaussian bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-06T19:17:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "35P25"
    ],
    "keywords": [
      "schroedinger operators",
      "littlewood-paley theorem",
      "polynomial decay condition",
      "upper gaussian bound",
      "spectral operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9185Z"
    }
  }
}