{
  "abstract": "The paper contains the study of noncommutative Burkholder inequalities. We prove that the constant involved is of order $O(p/\\log p)$ when $p\\to \\infty$, which is known to be optimal even in the commutative setting. This answers an open problem raised by Randrianantoanina in 2007, and by Junge and Xu in 2008.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30600",
  "author_total": 4,
  "authors": [
    {
      "name": "Yong Jiao"
    },
    {
      "name": "Adam Osekowski"
    },
    {
      "name": "Lian Wu"
    },
    {
      "name": "Yahui Zuo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5y2s1mtj4bzdz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30600",
  "fulltext_url": null,
  "id": "5y2s1mtj4bzdz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30600",
  "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.FA"
    ],
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      "openalex",
      "2610|Advanced Operator Algebra Research"
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  ],
  "openalex": "W7214668081",
  "pdf_url": "https://arxiv.org/pdf/2609.30600",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5y2s1mtj4bzdz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30600",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30600"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Best constants in noncommutative Burkholder inequalities",
  "title_text": "Best constants in noncommutative Burkholder inequalities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/5y2s1mtj4bzdz",
  "venue": "arXiv",
  "versions": []
}