{
  "abstract": "We show that $m$-linear homogeneous rough singular integral operators $\\LL_Ω$ associated with $L^\\infty$ functions $Ω$ on $\\mathbb{S}^{mn-1}$ with mean value zero may not be bounded from $L^1(\\mathbb R^n)\\times\\cdots\\times L^1(\\mathbb R^n)$ to $L^{\\frac 1 m,\\nf}(\\mathbb R^n)$ except possibly for the case $n=1$ and $m=2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10856",
  "author_total": 1,
  "authors": [
    {
      "name": "Petr Honzik"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/djg8t4bf94029.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10856",
  "fulltext_url": null,
  "id": "djg8t4bf94029",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10856",
  "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.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7221152953",
  "pdf_url": "https://arxiv.org/pdf/2610.10856",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/djg8t4bf94029.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.10856",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10856"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Multilinear rough singular integral operators may not be of the weak type at the endpoint",
  "title_text": "Multilinear rough singular integral operators may not be of the weak type at the endpoint",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/djg8t4bf94029",
  "venue": "arXiv",
  "versions": []
}