{
  "abstract": "In this paper, we show that the usual Hausdorff--Young inequalities for locally compact quantum groups such as the quantum \\(E_q(2)\\), the real quantum \\(az+b\\), and the extended quantum \\(SU_q(1,1)\\), where \\(0<q<1\\), are sharp. Moreover, there are no group-like projections with finite Haar weight in these locally compact quantum groups. We obtain a sharp Hausdorff--Young inequality for Kahng's skew-matrix quantum groups; the optimal constant is strictly less than one for \\(1<p<2\\); at \\(p=2\\), Plancherel gives equality, and these quantum groups have no nonzero group-like projections with finite Haar weight.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05863",
  "author_total": 2,
  "authors": [
    {
      "name": "Jinsong Wu"
    },
    {
      "name": "Fulin Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/40k0d61s6mmme.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05863",
  "fulltext_url": null,
  "id": "40k0d61s6mmme",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05863",
  "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"
    ],
    [
      "arxiv",
      "math.OA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05863",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/40k0d61s6mmme.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.05863",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05863"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp Hausdorff--Young inequalities for some locally compact quantum groups",
  "title_text": "Sharp Hausdorff--Young inequalities for some locally compact quantum groups",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/40k0d61s6mmme",
  "venue": "arXiv",
  "versions": []
}