{
  "id": "0803.3309",
  "version": "v1",
  "published": "2008-03-24T13:45:38.000Z",
  "updated": "2008-03-24T13:45:38.000Z",
  "title": "Higher Order Riesz Transforms for Laguerre Expansions",
  "authors": [
    "Jorge J. Betancor",
    "Juan C. Fariña",
    "Lourdes Rodriguez-Mesa",
    "Alejandro Sanabria-Garcia"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we investigate Lp-boundedness properties for the higher order Riesz transforms associated with Laguerre operators. Also we prove that the k-th Riesz transform is a principal value singular integral operator (modulus a constant times of the function when k is even). To establish our results we exploit a new identity connecting Riesz transforms in the Hermite and Laguerre settings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-24T13:45:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "42C15"
    ],
    "keywords": [
      "laguerre expansions",
      "principal value singular integral operator",
      "identity connecting riesz transforms",
      "higher order riesz transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3309B"
    }
  }
}