{
  "abstract": "Weissler's conjectured characterization of complex hypercontractivity on the Hamming cube remained open in the ranges $2<p\\le q<3$ and $\\frac32<p\\le q<2$. Ivanisvili--Nazarov established the diagonal cases. We prove the remaining strict off-diagonal cases through the corresponding two-point inequality. Our argument gives a self-contained proof for every $2<p\\le q<\\infty$ and, by duality, for every $1<p\\le q<2$, including the previously known diagonal cases. The proof is based on a flow argument.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.19769",
  "author_total": 2,
  "authors": [
    {
      "name": "Yi C. Huang"
    },
    {
      "name": "Paata Ivanisvili"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e12ecr0ckfd34.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.19769",
  "fulltext_url": null,
  "id": "e12ecr0ckfd34",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.19769",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
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  "openalex": "W7170153254",
  "pdf_url": "https://arxiv.org/pdf/2607.19769",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e12ecr0ckfd34.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2607.19769",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.19769"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The missing two-point inequality in Weissler's conjecture",
  "title_text": "The missing two-point inequality in Weissler's conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/e12ecr0ckfd34",
  "venue": "arXiv",
  "versions": []
}