{
  "id": "1909.11153",
  "version": "v1",
  "published": "2019-09-24T19:51:51.000Z",
  "updated": "2019-09-24T19:51:51.000Z",
  "title": "Dimension-free estimates for Riesz transforms related to the harmonic oscillator",
  "authors": [
    "Maciej Kucharski"
  ],
  "comment": "26 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study $L^p$ bounds for two kinds of Riesz transforms on $\\mathbb{R}^d$ related to the harmonic oscillator. We pursue an explicit estimate of their $L^p$ norms that is independent of the dimension $d$ and linear in $\\max(p, p/(p-1))$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-24T19:51:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10",
      "42A50",
      "33C50"
    ],
    "keywords": [
      "riesz transforms",
      "harmonic oscillator",
      "dimension-free estimates",
      "explicit estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}