{
  "id": "math/0410475",
  "version": "v1",
  "published": "2004-10-21T19:33:15.000Z",
  "updated": "2004-10-21T19:33:15.000Z",
  "title": "Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators",
  "authors": [
    "Zhongwei Shen"
  ],
  "comment": "To appear in Annales de L'Institut Fourier (Grenoble)",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "For any fixed $p>2$, a necessary and sufficient condition is obtained for the boundedness of the Riesz transforms associated with second order elliptic operators with real, symmetric, bounded measurable coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-21T19:33:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J15",
      "35J25",
      "42B20"
    ],
    "keywords": [
      "second order elliptic operators",
      "sufficient condition",
      "riesz transforms",
      "boundedness",
      "bounded measurable coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10475S"
    }
  }
}