{
  "abstract": "The paper contains the study of the weighted $L^{p_1}\\times L^{p_2}\\times \\ldots \\times L^{p_m}\\to L^p$ estimates for the multilinear maximal operator, in the context of abstract probability spaces equipped with a tree-like structure. Using the Bellman function method, we identify the associated optimal constants for weights satisfying the multilinear Muckenhoupt condition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09515",
  "author_total": 4,
  "authors": [
    {
      "name": "Tomasz Gałązka"
    },
    {
      "name": "Yong Jiao"
    },
    {
      "name": "Adam Osękowski"
    },
    {
      "name": "Lian Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/13f88kcspcj57.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09515",
  "fulltext_url": null,
  "id": "13f88kcspcj57",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09515",
  "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"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7220923255",
  "pdf_url": "https://arxiv.org/pdf/2610.09515",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/13f88kcspcj57.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09515",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09515"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp weighted estimates for the multilinear maximal operator",
  "title_text": "Sharp weighted estimates for the multilinear maximal operator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/13f88kcspcj57",
  "venue": "arXiv",
  "versions": []
}