{
  "id": "2003.09931",
  "version": "v1",
  "published": "2020-03-22T15:43:50.000Z",
  "updated": "2020-03-22T15:43:50.000Z",
  "title": "A note on second order Riesz transforms in 3-dimensional Lie groups",
  "authors": [
    "Fabrice Baudoin",
    "Li Chen"
  ],
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We prove explicit $L^p$ bounds for second order Riesz transforms of the sub-Laplacian in the Lie groups $\\mathbb H$, $\\mathbb{SU}(2)$ and $\\mathbb{SL}(2)$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-22T15:43:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second order riesz transforms",
      "lie groups",
      "sub-laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}