{
  "abstract": "In this article we investigate spherical maximal operators $\\mathfrak m^α$ of real order $α$ acting on radial functions in the hyperbolic space $\\mathbb H^n$. We show that for every $n\\geq 2$, $1<p\\leq\\infty$ and $α>(1-n)/2$, $\\mathfrak m^α$ is bounded on $L^p_{\\mathrm{rad}}(\\mathbb H^n)$ if and only if \\begin{align*} \\begin{cases} α>1-n+\\frac np, & 1<p\\leq 2, α>\\frac1p-\\frac{n-1}2, & 2<p\\leq\\frac{2n}{n-1}, α\\geq\\frac{1-n}p, & p>\\frac{2n}{n-1}. \\end{cases} \\end{align*} Moreover, we show that for $1<p\\leq 2n/(n-1)$ and \\begin{align*} α= \\begin{cases} 1-n+\\frac np, & 1<p\\leq 2, \\frac1p-\\frac{n-1}2, & 2<p\\leq\\frac{2n}{n-1}, \\end{cases} \\end{align*} $\\mathfrak m^α$ is bounded from $L^{p,1}_{\\mathrm{rad}}(\\mathbb H^n)$ to $L^{p,\\infty}_{\\mathrm{rad}}(\\mathbb H^n)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38168",
  "author_total": 1,
  "authors": [
    {
      "name": "Yunxiang Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5n549dan0hrmm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38168",
  "fulltext_url": null,
  "id": "5n549dan0hrmm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38168",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38168",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5n549dan0hrmm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38168",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38168"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Endpoint estimates for spherical maximal operators acting on radial functions in hyperbolic spaces",
  "title_text": "Endpoint estimates for spherical maximal operators acting on radial functions in hyperbolic spaces",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/5n549dan0hrmm",
  "venue": "arXiv",
  "versions": []
}