{
  "id": "1508.06102",
  "version": "v1",
  "published": "2015-08-25T10:42:33.000Z",
  "updated": "2015-08-25T10:42:33.000Z",
  "title": "An L^1-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator",
  "authors": [
    "Mikko Kemppainen"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study a class of spectral multipliers \\phi(L) for the Ornstein--Uhlenbeck operator L arising from the Gaussian measure on R^n and find a sufficient condition for integrability of \\phi(L)f in terms of the admissible conical square function and a maximal function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-25T10:42:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B15",
      "42B30"
    ],
    "keywords": [
      "ornstein-uhlenbeck operator",
      "spectral multipliers",
      "gaussian measure",
      "admissible conical square function",
      "maximal function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150806102K"
    }
  }
}