{
  "abstract": "Let $n\\ge3$, and let $u$ be a bounded hyperbolic harmonic mapping on the real hyperbolic upper half-space $\\mathbb H^n$. First, for $0<α<1$, we establish quantitative transversal and modulus criteria for the global $α$-Hölder continuity of $u$. Then, we construct lacunary examples to show that these criteria are invalid when $α=1$. Finally, under additional integral conditions, we obtain the corresponding global Lipschitz continuity and give Dini--Zygmund conditions on the boundary trace that ensure the Lipschitz continuity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.13927",
  "author_total": 2,
  "authors": [
    {
      "name": "Suling Tan"
    },
    {
      "name": "Hong-Ping Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ptd991rh3fzy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.13927",
  "fulltext_url": null,
  "id": "5ptd991rh3fzy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.13927",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7203650996",
  "pdf_url": "https://arxiv.org/pdf/2608.13927",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ptd991rh3fzy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2608.13927",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.13927"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Transversal Hölder Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic Mappings",
  "title_text": "Transversal Hölder Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic Mappings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/5ptd991rh3fzy",
  "venue": "arXiv",
  "versions": []
}