{
  "abstract": "We improve the exponents of the $A_p$ constant in the strong and weak-type weighted bounds for the strong maximal function, for every $1 < p <\\infty$ and every dimension $d \\geq 2$. In dimension two, the strong and weak $L^2(w)$ exponents improve from $2$ to $7/4$ and from $3/2$ to $5/4$, respectively. The proof exploits the geometry of pairwise intersections of antichains of dyadic rectangles.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17246",
  "author_total": 2,
  "authors": [
    {
      "name": "Sheldy Ombrosi"
    },
    {
      "name": "Guillermo Rey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e63dn0c7tpfae.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17246",
  "fulltext_url": null,
  "id": "e63dn0c7tpfae",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17246",
  "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.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7213430210",
  "pdf_url": "https://arxiv.org/pdf/2609.17246",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e63dn0c7tpfae.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.17246",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17246"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Improved weighted bounds for the strong maximal function",
  "title_text": "Improved weighted bounds for the strong maximal function",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/e63dn0c7tpfae",
  "venue": "arXiv",
  "versions": []
}