{
  "abstract": "In this paper, we focus on the boundedness and compactness of the Toeplitz operators and the Hankel operators on the $\\mathcal{D}$-weighted Bergman spaces $A_ω^p$ ($1\\leq p<\\infty$). In particular, the boundedness of Toeplitz operators with $\\mathrm{BMO}_ω^p$-symbols on $A_ω^p$ is characterized in terms of the Berezin-type transform. Several sufficient conditions for the Toeplitz operators $T_f^ω$ with locally integrable symbols to be bounded (resp. compact) for each $1\\leq p<\\infty$ are presented. Moreover, sufficient and necessary conditions for the boundedness of the Toeplitz operator $T_{\\bar{f}}^ω:A_ω^1\\rightarrow A_ω^1$ and the Hankel operator $H_{\\bar{f}}^ω:A_ω^1\\rightarrow L_ω^1$ with co-analytic symbol are established.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23402",
  "author_total": 4,
  "authors": [
    {
      "name": "Yongjiang Duan"
    },
    {
      "name": "Kunyu Guo"
    },
    {
      "name": "Junhan Hong"
    },
    {
      "name": "Fugang Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7n6am53kb9k1c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23402",
  "fulltext_url": null,
  "id": "7n6am53kb9k1c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23402",
  "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"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7214031655",
  "pdf_url": "https://arxiv.org/pdf/2609.23402",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7n6am53kb9k1c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23402",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23402"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Toeplitz and Hankel operators on Bergman spaces with doubling weights",
  "title_text": "Toeplitz and Hankel operators on Bergman spaces with doubling weights",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/7n6am53kb9k1c",
  "venue": "arXiv",
  "versions": []
}