{
  "abstract": "Let $Ω=G/\\mathbb K$ be an irreducible bounded symmetric domain of rank $r$ and dimension $d.$ In this paper, we study the joint subnormality of $d$-tuple of multiplication operators induced by the coordinate functions on reproducing kernel Hilbert spaces of holomorphic functions on $Ω$ determined by $\\mathbb K$-invariant kernels. We introduce the notion of contractive $d$-tuple associated with $Ω$ and prove that the weighted Bergman shifts on $Ω$ are contractive $d$-tuple precisely when they are jointly subnormal. A characterization of joint subnormality further leads to the study of a class of moment problems, which we refer to as twisted moment problems. We establish that the twisted moment problem is equivalent to an appropriate Hausdorff moment problem. This equivalence provides a moment-theoretic characterization of joint subnormality for the multiplication operators under consideration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26434",
  "author_total": 2,
  "authors": [
    {
      "name": "Surjit Kumar"
    },
    {
      "name": "Milan Kumar Mal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b74a9gr5akezv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26434",
  "fulltext_url": null,
  "id": "b74a9gr5akezv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26434",
  "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.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.26434",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b74a9gr5akezv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.26434",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26434"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Subnormality of $\\mathbb K$-Homogeneous Multiplication Operators on Bounded Symmetric Domains",
  "title_text": "The Subnormality of 𝕂-Homogeneous Multiplication Operators on Bounded Symmetric Domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/b74a9gr5akezv",
  "venue": "arXiv",
  "versions": []
}