{
  "abstract": "In this paper, we characterize generalized tri-circular projections on the following three vector-valued spaces of analytic functions on the open unit disk $\\mathbb{D}$: the Hardy space $H^p(\\mathcal{K})$ for a complex separable Hilbert space $\\mathcal{K}$ and $1 \\le p < \\infty,p \\neq 2$; the space $H^\\infty(E)$ of $E$-valued bounded analytic functions for a Banach space $E$ with trivial multiplier algebra; and the little Bloch spaces $\\mathcal{B}_0(\\mathbb{D}, E)$ and $\\mathcal{B}_{\\ast}(\\mathbb{D}, E)$, for $E$ smooth, strictly convex, and reflexive.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10718",
  "author_total": 3,
  "authors": [
    {
      "name": "Hemant Kumar"
    },
    {
      "name": "Himanshu Kumar"
    },
    {
      "name": "Abdullah Bin Abu Baker"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fhrd95q9y448g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10718",
  "fulltext_url": null,
  "id": "fhrd95q9y448g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10718",
  "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.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7212290360",
  "pdf_url": "https://arxiv.org/pdf/2609.10718",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fhrd95q9y448g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.10718",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10718"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Generalized tri-circular projections on some vector-valued spaces of analytic functions",
  "title_text": "Generalized tri-circular projections on some vector-valued spaces of analytic functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/fhrd95q9y448g",
  "venue": "arXiv",
  "versions": []
}