{
  "abstract": "In this paper, we study the characterizations of Schatten \\(p\\)-class Toeplitz operators on smoothly bounded convex domains of finite type in \\(\\C^n\\). On one hand, by using discrete Kobayashi lattice, we characterize the Schatten \\(p\\)-class Toeplitz operators by employing a probabilistic selection method for \\(0<p<1\\). At the same time, we show that the characterizations obtained by Kobayashi lattice are equivalent to the Berezin transform for \\(p > \\frac{n}{n+1}\\). On the other hand, as an application, the criterion gives a geometric characterization for Schatten \\(p\\)-class weighted composition operators for \\(0<p<2\\) and also gives an analytic characterization for \\(p>\\frac{2n}{n+1}\\). Our main results give an answer to the question that find a geometric or analytic characterization of the Schatten \\(p\\)-class weighted composition operators whenever \\(0<p<2\\) raised by Xiao-Yang-Yuan \\cite{Xiao2026}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22908",
  "author_total": 3,
  "authors": [
    {
      "name": "Mingjin Li"
    },
    {
      "name": "Jianren Long"
    },
    {
      "name": "Lang Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8be040zpp764c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22908",
  "fulltext_url": null,
  "id": "8be040zpp764c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22908",
  "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": "W7214020500",
  "pdf_url": "https://arxiv.org/pdf/2609.22908",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8be040zpp764c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.22908",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22908"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Small exponent Schatten class Toeplitz operators on convex domains of finite type",
  "title_text": "Small exponent Schatten class Toeplitz operators on convex domains of finite type",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/8be040zpp764c",
  "venue": "arXiv",
  "versions": []
}