{
  "abstract": "Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator $\\mathcal{H}_b$ acting on weighted Bergman spaces $A_α^p$ are established. Moreover, under some mild assumptions, we obtain the exact norm of $\\mathcal{H}_b$ on $ A_α^p$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04833",
  "author_total": 5,
  "authors": [
    {
      "name": "Dongxing Li"
    },
    {
      "name": "Songxiao Li"
    },
    {
      "name": "Weiye Pan"
    },
    {
      "name": "Hasi Wulan"
    },
    {
      "name": "Mengmeng Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/479hc5c36g8e5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04833",
  "fulltext_url": null,
  "id": "479hc5c36g8e5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04833",
  "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": "W7211888457",
  "pdf_url": "https://arxiv.org/pdf/2609.04833",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/479hc5c36g8e5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.04833",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04833"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Norm of the generalized Hilbert operator on weighted Bergman spaces",
  "title_text": "Norm of the generalized Hilbert operator on weighted Bergman spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/479hc5c36g8e5",
  "venue": "arXiv",
  "versions": []
}