{
  "abstract": "We introduce and study a two-parameter family of Toeplitz-type operators $T^{(s,t)}_φ$ on the Fock space $F^p(C)$ for $0<p\\leq\\infty$. For all $0<p, q \\leq\\infty$ we obtain sharp conditions for $φ$ such that $T^{(s,t)}_φ: F^p(C)\\to F^q(C)$ is bounded or compact. In the Hilbert space case $T^{(s,t)}_φ: F^2(C)\\to F^2(C)$, we also study the Berezin transform of $T^{(s,t)}_φ$ and membership of $T^{(s,t)}_φ$ in Schatten classes. Furthermore, we find a class of noncompact operators whose Berezin transforms nevertheless vanish at infinity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24318",
  "author_total": 3,
  "authors": [
    {
      "name": "Xingtang Dong"
    },
    {
      "name": "Zipeng Wang"
    },
    {
      "name": "Kehe Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7cbdj87s1hhc3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24318",
  "fulltext_url": null,
  "id": "7cbdj87s1hhc3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24318",
  "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"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7223019936",
  "pdf_url": "https://arxiv.org/pdf/2610.24318",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7cbdj87s1hhc3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24318",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24318"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Two-parameter Toeplitz-type operators between Fock spaces",
  "title_text": "Two-parameter Toeplitz-type operators between Fock spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/7cbdj87s1hhc3",
  "venue": "arXiv",
  "versions": []
}