{
  "abstract": "We investigate the $L^p$ norm convergence of Bochner-Riesz means $S_R^δf$, $f \\in L^p(\\mathbb{R}^+,dμ_β)$ associated to Laguerre expansions of type $β\\geq -1/2$. For any given $1 < p < \\infty$ and $β> -1/2$, we provide a complete characterisation of the order $δ$ for which these means are uniformly bounded on $L^p$ spaces. A particularly noteworthy phenomenon arises for $-1/3 <β<0$, where the admissible $(p, δ)$ region differs substantially from those for $ -1/2 \\leq β\\leq -1/3$ or $β\\geq 0$. Interestingly, the convergence for $-1/3 < β<0$ is an interaction between the ranges $ -1/2 \\leq β\\leq -1/3$ and $β\\geq 0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01221",
  "author_total": 3,
  "authors": [
    {
      "name": "Himani Sharma"
    },
    {
      "name": "Adam Sikora"
    },
    {
      "name": "Sundaram Thangavelu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7r1z33qnrty8v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01221",
  "fulltext_url": null,
  "id": "7r1z33qnrty8v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01221",
  "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"
    ],
    [
      "arxiv",
      "math.CA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01221",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7r1z33qnrty8v.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01221",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01221"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Bochner-Riesz means for Laguerre expansions",
  "title_text": "Bochner-Riesz means for Laguerre expansions",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/7r1z33qnrty8v",
  "venue": "arXiv",
  "versions": []
}