{
  "abstract": "We prove Lebesgue space estimates for a curved three-dimensional simplex Hilbert transform associated with the moment curve $t \\mapsto (t,t^2,t^3)$. The analysis relies on smoothing inequalities for curved multilinear averages and on estimates for a three-dimensional anisotropic variant of the twisted paraproduct. The result has been formally verified in Lean 4.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24850",
  "author_total": 3,
  "authors": [
    {
      "name": "Polona Durcik"
    },
    {
      "name": "Marco Fraccaroli"
    },
    {
      "name": "Joris Roos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3w65tz5nd0c40.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24850",
  "fulltext_url": null,
  "id": "3w65tz5nd0c40",
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  "landing_url": "https://arxiv.org/abs/2610.24850",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
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      "openalex",
      "2604|Advanced Harmonic Analysis Research"
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  "openalex": "W7223037334",
  "pdf_url": "https://arxiv.org/pdf/2610.24850",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3w65tz5nd0c40.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24850",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24850"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A curved three-dimensional simplex Hilbert transform",
  "title_text": "A curved three-dimensional simplex Hilbert transform",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/3w65tz5nd0c40",
  "venue": "arXiv",
  "versions": []
}