{
  "id": "2110.15735",
  "version": "v2",
  "published": "2021-10-29T12:20:03.000Z",
  "updated": "2021-11-05T14:35:59.000Z",
  "title": "Dimension-free $L^p$ estimates for vectors of Riesz transforms in the rational Dunkl setting",
  "authors": [
    "Agnieszka Hejna"
  ],
  "comment": "Research supported by the National Science Centre, Poland (Narodowe Centrum Nauki), Grant 2018/31/B/ST1/00204",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we prove dimension-free upper bound for the $L^p$-norms of the vector of Riesz transforms in the rational Dunkl setting. Our main technique is Bellman function method adapted to the Dunkl setting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-11-05T14:35:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B25",
      "42B37"
    ],
    "keywords": [
      "rational dunkl setting",
      "riesz transforms",
      "dimension-free upper bound",
      "bellman function method",
      "main technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}