{
  "abstract": "For the three-dimensional hyperbolic crosses {k∈Z3,α,β,γ>0:1≤|k1|α|k2|β|k3|γ≤Rα+β+γ}, three types of estimates (from above) of the Lebesgue constants generated by them are possible depending on α, β, and γ. We improve the most problematic of them by showing that for R→∞, it may be RlnR rather than the previously known RlnR.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Bar-Ilan University, Ramat-Gan 5290002, Israel"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Elijah Liflyand"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5g399504pcyqa.bib",
  "cited_by": 0,
  "doi": "10.3390/math14214069",
  "fulltext_url": null,
  "id": "5g399504pcyqa",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/4069",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-06",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/5g399504pcyqa.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:57Z",
      "native_id": "10.3390/math14214069",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/4069"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2227-7390",
      "subfield": "general"
    }
  ],
  "title": "Hyperbolic Lebesgue Constants in Dimension Three",
  "title_text": "Hyperbolic Lebesgue Constants in Dimension Three",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T00:21:40Z",
  "url": "https://research.draconitic.com/paper/5g399504pcyqa",
  "venue": "Mathematics",
  "versions": []
}