{
  "abstract": "We prove sharp $L^p(|x|^α)$ estimate for spherical maximal functions. We resolve the remaining open problem for the full maximal operator for $α=1-d$ and $p<2$ and prove a more general result involving a local version of Assouad dimension of the underlying dilation set. We also make a case study with endpoint bounds for a model case involving convex sequences in $[1,2]$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18316",
  "author_total": 5,
  "authors": [
    {
      "name": "Marco Fraccaroli"
    },
    {
      "name": "Juyoung Lee"
    },
    {
      "name": "Nikou Lei"
    },
    {
      "name": "Joris Roos"
    },
    {
      "name": "Andreas Seeger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b0kzw973g27tf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18316",
  "fulltext_url": null,
  "id": "b0kzw973g27tf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18316",
  "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"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7221789207",
  "pdf_url": "https://arxiv.org/pdf/2610.18316",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b0kzw973g27tf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18316",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18316"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Endpoint power weight inequalities for spherical maximal functions",
  "title_text": "Endpoint power weight inequalities for spherical maximal functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/b0kzw973g27tf",
  "venue": "arXiv",
  "versions": []
}