{
  "abstract": "We establish the \\(L^p\\)-boundedness, \\(1<p<\\infty\\), of the non-centered Hardy--Littlewood maximal operator associated with \\(\\ell^q\\) balls, \\(1<q<\\infty\\), for the non-radial exponential measure \\[ dμ(x)=e^{-|x_1|-\\cdots-|x_d|}\\,dx \\] in every dimension \\(d\\ge1\\). This settles the higher-dimensional Euclidean case left open by Nowak, Sasso, Sjögren and Stempak, and extends their results to the full range \\(1<q<\\infty\\). We also prove that these operators are not of weak type \\((1,1)\\) when \\(d\\ge2\\). Together with the known results for \\(q=1\\) and \\(q=\\infty\\) for the exponential measure, this gives a complete description of the \\(L^p\\)-boundedness and weak type \\((1,1)\\) behavior for all \\(1\\le q\\le\\infty\\). {We also extend the strong \\(L^p\\)-boundedness to the Laguerre-type measures \\(dμ_α(x)=\\prod_{j=1}^d|x_j|^{α_j}e^{-|x_1|-\\cdots-|x_d|}\\,dx\\) for all \\(α_j\\ge0\\) and \\(1\\le q\\le\\infty\\), and for the full range \\(α_j>-1\\) when \\(q=\\infty\\).} {The main arguments rely} on geometric estimates for sections of \\(\\ell^q\\) balls and a slicing argument.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04250",
  "author_total": 2,
  "authors": [
    {
      "name": "The Anh Bui"
    },
    {
      "name": "Fu Ken Ly"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8xh2ys7qah50t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04250",
  "fulltext_url": null,
  "id": "8xh2ys7qah50t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04250",
  "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.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04250",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8xh2ys7qah50t.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04250",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04250"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Non-centered maximal operators over $\\ell^q$ balls for exponential and Laguerre-type measures",
  "title_text": "Non-centered maximal operators over ℓ^q balls for exponential and Laguerre-type measures",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/8xh2ys7qah50t",
  "venue": "arXiv",
  "versions": []
}