{
  "abstract": "Large-cap or large-ensemble decoupling inequalities were initially studied by Demeter. These are intimately connected to the reverse square-function conjecture and restriction conjecture in Fourier restriction theory. By strips, we mean a partition of the $R^{-1}$-neighborhood of the paraboloid into $1\\times R^{-1/2}\\times R^{-1}$ curved large-caps. In this article, we prove the sharp $\\ell^2(L^{10/3})$ decoupling estimate for strips in $\\mathbb{R}^3$. We reduce the strip decoupling inequalities to a planar incidence problem, which is dealt with via two-ends Furstenberg incidence estimates. Our method is inspired by Wang--Wu on the restriction conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01567",
  "author_total": 1,
  "authors": [
    {
      "name": "Jacob Glidewell"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bg2zwjfeep2ej.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01567",
  "fulltext_url": null,
  "id": "bg2zwjfeep2ej",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01567",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7216327184",
  "pdf_url": "https://arxiv.org/pdf/2610.01567",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bg2zwjfeep2ej.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.01567",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01567"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Strip Decoupling Inequalities for the Paraboloid in $\\mathbb{R}^3$",
  "title_text": "Strip Decoupling Inequalities for the Paraboloid in ℝ^3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/bg2zwjfeep2ej",
  "venue": "arXiv",
  "versions": []
}