{
  "abstract": "Let $n \\geq 5$. We prove that the helical maximal operator is bounded on $L^p(\\mathbb{R}^n)$ for some $p<2n-4$. This improves the previously known range $p>2n-4$ obtained by Gan-Maldague-Oh. As observed by Beltran-Hickman, the exponent $2n-4$ is the natural limit of the standard local smoothing method.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17466",
  "author_total": 2,
  "authors": [
    {
      "name": "Changkeun Oh"
    },
    {
      "name": "Jaehyun Woo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8jh6zm5se9pzw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17466",
  "fulltext_url": null,
  "id": "8jh6zm5se9pzw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17466",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7213438210",
  "pdf_url": "https://arxiv.org/pdf/2609.17466",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8jh6zm5se9pzw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.17466",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17466"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Improved $L^p$ bounds for the helical maximal function in dimensions $n \\geq 5$",
  "title_text": "Improved L^p bounds for the helical maximal function in dimensions n ≥ 5",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/8jh6zm5se9pzw",
  "venue": "arXiv",
  "versions": []
}