{
  "abstract": "We prove a weak type $(1,1)$ estimate for maximal truncations of noncommutative rough singular integrals whose angular kernels satisfy the classical $L\\log L$ integrability and cancellation conditions. The main ingredient of the proof is a new linearization method for handling the maximal truncations acting on the bad functions arising from the noncommutative Calderón--Zygmund decomposition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33284",
  "author_total": 2,
  "authors": [
    {
      "name": "Junming Cao"
    },
    {
      "name": "Wei Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fkbsw9c8m0xkj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33284",
  "fulltext_url": null,
  "id": "fkbsw9c8m0xkj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33284",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7223811246",
  "pdf_url": "https://arxiv.org/pdf/2610.33284",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fkbsw9c8m0xkj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33284",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33284"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Weak type $(1,1)$ estimates for noncommutative maximal truncated rough singular integrals",
  "title_text": "Weak type (1,1) estimates for noncommutative maximal truncated rough singular integrals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/fkbsw9c8m0xkj",
  "venue": "arXiv",
  "versions": []
}