{
  "abstract": "For $0\\leqα<n$, let $A_{*}^α$ denote the fractional spherical maximal operator. In this paper we characterise the range of $β$ for which the $L^p-L^q$ power-weight estimate \\[\\left\\|A_{*}^α f\\right\\|_{L^q(|x|^{qβ})} \\leq C \\left\\|f\\right\\|_{L^p(|x|^{pβ})}\\] holds. In the diagonal case $p=q$, our work gives an affirmative answer to a conjecture of Lee. We prove analogous results for the lacunary fractional spherical maximal operator.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13326",
  "author_total": 4,
  "authors": [
    {
      "name": "Riju Basak"
    },
    {
      "name": "Surjeet Singh Choudhary"
    },
    {
      "name": "Chun-Yen Shen"
    },
    {
      "name": "Daniel Spector"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3f26defxrv4pa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13326",
  "fulltext_url": null,
  "id": "3f26defxrv4pa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13326",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7221506533",
  "pdf_url": "https://arxiv.org/pdf/2610.13326",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3f26defxrv4pa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13326",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13326"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp power-weight estimates for the fractional spherical maximal operator",
  "title_text": "Sharp power-weight estimates for the fractional spherical maximal operator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/3f26defxrv4pa",
  "venue": "arXiv",
  "versions": []
}