{
  "abstract": "We continue our study of multilinear rough homogeneous singular integrals by establishing weighted estimates for their maximal truncations. Let $m\\ge2$ and let $Ω\\in L^q(\\mathbb{S}^{mn-1})$, $1<q\\le\\infty$, have mean zero. For $1<p_1,\\dots,p_m<\\infty$ with $p_j\\ge q'$ and $1/p=\\sum_{j=1}^m1/p_j$, we prove $$\\big\\Vert \\mathcal{L}_Ω^*(f_1,\\dots,f_m)\\big\\Vert_{L^p(v_{\\vec{\\boldsymbol{w}}})} \\lesssim \\VertΩ\\Vert_{L^q(\\mathbb{S}^{mn-1})} \\prod_{j=1}^m\\Vert f_j\\Vert_{L^{p_j}(w_j)}$$ whenever $\\vec{\\boldsymbol{w}}=(w_1,\\dots,w_m)\\in A_{(p_1/q',\\dots,p_m/q')}$, where $q'$ is the Hölder conjugate of $q$ and $v_{\\vec{\\boldsymbol{w}}}=\\prod_{j=1}^m w_j^{p/p_j}$. The estimate holds under the same multiple weight condition as the corresponding principal value estimate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18296",
  "author_total": 1,
  "authors": [
    {
      "name": "Bae Jun Park"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9k4h2gmaa0x0k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18296",
  "fulltext_url": null,
  "id": "9k4h2gmaa0x0k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18296",
  "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": "W7221785068",
  "pdf_url": "https://arxiv.org/pdf/2610.18296",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9k4h2gmaa0x0k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18296",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18296"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Weighted Norm Inequalities for Maximal Multi-sublinear Rough Singular Integrals",
  "title_text": "Weighted Norm Inequalities for Maximal Multi-sublinear Rough Singular Integrals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/9k4h2gmaa0x0k",
  "venue": "arXiv",
  "versions": []
}