{
  "abstract": "In this paper, we get global $L^2$ approximation theorems in Bergman spaces with values in singular holomorphic vector bundles over Stein manifolds generalizing results of Li and Zhou. The main results combine strong openness property of multiplier submodule sheaf and twisted $L^2$ estimates of $\\bar\\partial$-equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28273",
  "author_total": 2,
  "authors": [
    {
      "name": "Bo Xiao"
    },
    {
      "name": "Tianlong Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7qpbz8j14748z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28273",
  "fulltext_url": null,
  "id": "7qpbz8j14748z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28273",
  "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.CV"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7223124952",
  "pdf_url": "https://arxiv.org/pdf/2610.28273",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7qpbz8j14748z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.28273",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28273"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global $L^2$ Approximation in the Bergman Spaces with Values in Holomorphic Vector Bundles",
  "title_text": "Global L^2 Approximation in the Bergman Spaces with Values in Holomorphic Vector Bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/7qpbz8j14748z",
  "venue": "arXiv",
  "versions": []
}