{
  "abstract": "We construct a pseudoconvex domain in $\\mathbb{C}^2$ such that the Bergman space is one-dimensional. Based on this example, for any integers $n \\geq 3, d \\geq 1$, we further construct a pseudoconvex domain in $\\mathbb{C}^n$ such that the Bergman space is $d$-dimensional. This disproves Wiegerinck's conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21749",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuan Yuan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3mfkaw9zcgwqc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21749",
  "fulltext_url": null,
  "id": "3mfkaw9zcgwqc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21749",
  "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": "W7222468468",
  "pdf_url": "https://arxiv.org/pdf/2610.21749",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3mfkaw9zcgwqc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.21749",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21749"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Pseudoconvex domains in complex Euclidean space with finite-dimensional Bergman spaces",
  "title_text": "Pseudoconvex domains in complex Euclidean space with finite-dimensional Bergman spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/3mfkaw9zcgwqc",
  "venue": "arXiv",
  "versions": []
}