{
  "abstract": "We study orthonormal Strichartz estimates at the critical coefficient exponent $q/2$ for fractional Schrödinger propagators. The proof for $d\\geq3$ combines annular Schatten estimates with a frequency summation argument based on potential duality and Littlewood--Paley theory. In dimension two, a trace computation supplies the annular estimate needed for the global estimate. We also construct a counterexample to the global estimate with spatial $L^\\infty$ and coefficients in $\\ell^{q/2}$, even with a weak time norm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03527",
  "author_total": 1,
  "authors": [
    {
      "name": "Yinghao Gong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8523znjazxw56.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03527",
  "fulltext_url": null,
  "id": "8523znjazxw56",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03527",
  "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.AP"
    ],
    [
      "arxiv",
      "math.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03527",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8523znjazxw56.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03527",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03527"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Critical orthonormal Strichartz estimates for Lebesgue spaces",
  "title_text": "Critical orthonormal Strichartz estimates for Lebesgue spaces",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/8523znjazxw56",
  "venue": "arXiv",
  "versions": []
}