{
  "abstract": "On every bounded pseudoconvex domain $Ω\\Subset\\mathbb C^n$, $n\\ge2$, with $C^2$ boundary, we prove $K_Ω/S_Ω\\le C_{Ω,\\varepsilon} δ_Ω^{-1}|\\logδ_Ω|^{1+\\varepsilon}$ near the boundary for every $\\varepsilon>0$, where $δ_Ω$ denotes the boundary distance. For each positive nondecreasing $H(s)=o(s)$, a smoothly bounded pseudoconvex complete Reinhardt domain in $\\mathbb C^2$ shows that the logarithmic factor cannot be replaced by $H(|\\logδ_Ω|)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31043",
  "author_total": 1,
  "authors": [
    {
      "name": "Xu Xing"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f4mn84yzqj4j1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31043",
  "fulltext_url": null,
  "id": "f4mn84yzqj4j1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31043",
  "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": "W7223378887",
  "pdf_url": "https://arxiv.org/pdf/2610.31043",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f4mn84yzqj4j1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.31043",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31043"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Comparison of the Bergman and Szegő kernels on arbitrary bounded pseudoconvex domains with $C^2$ boundary",
  "title_text": "Comparison of the Bergman and Szegő kernels on arbitrary bounded pseudoconvex domains with C^2 boundary",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/f4mn84yzqj4j1",
  "venue": "arXiv",
  "versions": []
}