{
  "abstract": "We prove a pointwise domination of Poisson variances for Hörmander--Mikhlin multipliers on the real line. The estimate holds in operator order for operator-valued functions and gives a direct Fourier-side proof of BMO boundedness. The same argument gives an algebraic proof of the one-dimensional Schur multiplier estimate of Conde-Alonso, González-Pérez, Parcet and Tablate ( Annals of Mathematics, 2023), formulated here using Poisson BMO. The endpoint estimates are proved for $L^2$ functions and Hilbert--Schmidt operators; interpolation gives the corresponding $L^p$ and Schatten estimates.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08192",
  "author_total": 1,
  "authors": [
    {
      "name": "Tao Mei"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/38f9bjz0yrkzg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08192",
  "fulltext_url": null,
  "id": "38f9bjz0yrkzg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08192",
  "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.CA"
    ],
    [
      "arxiv",
      "math.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08192",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/38f9bjz0yrkzg.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.08192",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08192"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "An interpretation of the BMO boundedness of Hörmander--Mikhlin multipliers",
  "title_text": "An interpretation of the BMO boundedness of Hörmander--Mikhlin multipliers",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:49Z",
  "url": "https://research.draconitic.com/paper/38f9bjz0yrkzg",
  "venue": "arXiv",
  "versions": []
}