{
  "abstract": "In this paper, we investigate Bohr-type inequalities for certain integral transforms of some bounded holomorphic operator-valued functions defined on a shifted disc. More precisely, we consider functions $f\\in H^{\\infty}(Ω_γ,\\mathcal{B}(\\mathcal{H}))$, where $\\mathcal{B}(\\mathcal{H})$ denotes the space of bounded linear operators on a complex Hilbert space $\\mathcal{H}$, and study the Bohr phenomena associated with the series representations in \\eqref{e1.2a} and \\eqref{e2.1}. Moreover, we determine the sharp radii $R_γ>0$ for which the corresponding majorant series satisfy the required inequalities for all $|z|\\leq R_γ$. One of our main results extends some recent result due to Kumar and Sahoo \\cite{Kumar-Sahoo-Meditarr-2023} to a large extent, and the other one is new in the literature",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05194",
  "author_total": 4,
  "authors": [
    {
      "name": "Goutam Haldar"
    },
    {
      "name": "Kawsar Ali"
    },
    {
      "name": "Sujoy Majumder"
    },
    {
      "name": "Dilip Chandra Pramanik"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dr1w8g8vjphkn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05194",
  "fulltext_url": null,
  "id": "dr1w8g8vjphkn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05194",
  "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"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7220709393",
  "pdf_url": "https://arxiv.org/pdf/2610.05194",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dr1w8g8vjphkn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05194",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05194"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Bohr-type inequalities for certain integral transforms of operator-valued analytic functions on shifted disc",
  "title_text": "Bohr-type inequalities for certain integral transforms of operator-valued analytic functions on shifted disc",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/dr1w8g8vjphkn",
  "venue": "arXiv",
  "versions": []
}