{
  "abstract": "Given a reproducing kernel Hilbert space $\\mathcal H$ and a bounded operator $T$ on $\\mathcal H$, we say that $T$ obeys the strong reproducing kernel thesis (SRKT) if $\\|T\\|=\\sup_k\\|Tk\\|$, where $k$ ranges over the normalized reproducing kernels in $\\mathcal H$. Two problems are posed. One of these is to determine which Hankel operators on the Hardy space $H^2$ obey the SRKT. The other concerns the geometry of the unit ball of $BMO$ with respect to the Garsia norm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33242",
  "author_total": 1,
  "authors": [
    {
      "name": "Konstantin M. Dyakonov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/16wcppa2bpp1y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33242",
  "fulltext_url": null,
  "id": "16wcppa2bpp1y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33242",
  "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.CA"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7214802652",
  "pdf_url": "https://arxiv.org/pdf/2609.33242",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/16wcppa2bpp1y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2609.33242",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33242"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The strong reproducing kernel thesis for Hankel operators and the Garsia norm",
  "title_text": "The strong reproducing kernel thesis for Hankel operators and the Garsia norm",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/16wcppa2bpp1y",
  "venue": "arXiv",
  "versions": []
}