{
  "id": "0909.4595",
  "version": "v2",
  "published": "2009-09-25T03:43:04.000Z",
  "updated": "2009-10-24T04:56:06.000Z",
  "title": "Riesz transforms associated to Schrödinger operators with negative potentials",
  "authors": [
    "Joyce Assaad"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The goal of this paper is to study the Riesz transforms $\\na A^{-1/2}$ where $A$ is the Schr\\\"odinger operator $-\\D-V, V\\ge 0$, under different conditions on the potential $V$. We prove that if $V$ is strongly subcritical, $\\na A^{-1/2}$ is bounded on $L^p(\\R^N)$, $N\\ge3$, for all $p\\in(p_0';2]$ where $p_0'$ is the dual exponent of $p_0$ where $2<\\frac{2N}{N-2}",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-24T04:56:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riesz transforms",
      "schrödinger operators",
      "negative potentials",
      "dual exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4595A"
    }
  }
}