{
  "abstract": "In this paper, we study the metric properties of pluriharmonic $α$-Bloch-type mappings $f=h+\\overline{g}\\in\\mathcal{H}(\\mathbb{B}^{n},\\mathbb{C}^{n})$ on the unit ball $\\mathbb{B}^{n}\\subset\\mathbb{C}^{n}$. By synthesizing local real-part estimates with the subharmonicity of $\\log(\\vert{} \\det Dh(z) \\vert{} + \\vert{} \\det Dg(z) \\vert{})$ along hyperbolic geodesics, we establish a globalized non-trivial lower bound across the entire unit ball $\\mathbb{B}^{n}$. Using this structural decay estimate, we prove that the invariant weight quantity $D_{f}^{n,α}(z)$ satisfies a global Hölder continuity estimate of order $1/n$ with respect to the Bergman metric $β$. Furthermore, we investigate composition operators $C_φ(f)=f\\circφ$ induced by holomorphic self-mappings $φ\\in\\mathcal{A}(\\mathbb{B}^{n},\\mathbb{B}^{n})$. We establish both sharp sufficient and necessary sampling conditions for $C_φ$ to be bounded from below on the pluriharmonic $α$-Bloch space $\\mathcal{B}_{P(n,α)}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12487",
  "author_total": 2,
  "authors": [
    {
      "name": "Molla Basir Ahamed"
    },
    {
      "name": "Vasudevarao Allu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9hzvj6fyrw52j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12487",
  "fulltext_url": null,
  "id": "9hzvj6fyrw52j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12487",
  "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.CV"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7221566195",
  "pdf_url": "https://arxiv.org/pdf/2610.12487",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9hzvj6fyrw52j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12487",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12487"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Hölder Continuity and Boundedness of Composition Operators on Pluriharmonic $α$-Bloch Spaces",
  "title_text": "Hölder Continuity and Boundedness of Composition Operators on Pluriharmonic α-Bloch Spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/9hzvj6fyrw52j",
  "venue": "arXiv",
  "versions": []
}