{
  "id": "1909.00220",
  "version": "v1",
  "published": "2019-08-31T14:11:49.000Z",
  "updated": "2019-08-31T14:11:49.000Z",
  "title": "Riesz means on symmetric spaces",
  "authors": [
    "Anestis Fotiadis",
    "Michel Marias",
    "Effie Papageorgiou"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $X$ be a non-compact symmetric space of dimension $n$. We prove that if $f\\in L^{p}(X)$, $1\\leq p\\leq 2$, then the Riesz means $S_{R}^{z}\\left( f\\right)$ converge to $f$ almost everywhere as $R\\rightarrow \\infty $, whenever $\\operatorname{Re}z>\\left( n-\\frac{1}{2}\\right) \\left( \\frac{2}{p}-1\\right) $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-31T14:11:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15",
      "43A85",
      "22E30",
      "58G99"
    ],
    "keywords": [
      "riesz means",
      "non-compact symmetric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}