{
  "abstract": "We study embeddings and operators on the Möbius-invariant spaces $Q_K$ using two dyadic capacities. One capacity is defined by analytic packets; the other is defined by domination of positive semidefinite matrices. We prove that they are equivalent. They give criteria for bounded and compact embeddings $Q_K\\to L^2(μ)$, bounded and compact Volterra operators, and pointwise multipliers. For the weights $K(t)=t^p/\\log^β(e/t)$, $0<p<1$ and $β\\ge1$, we prove $\\mathcal M(Q_K)\\subsetneq H^\\infty\\cap Q_K^{\\log}.$ This disproves the logarithmic multiplier conjecture recorded in Bao and Wulan's 2021 survey.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.20205",
  "author_total": 3,
  "authors": [
    {
      "name": "Wujun Cao"
    },
    {
      "name": "Zhouyuan Jiang"
    },
    {
      "name": "Songxiao Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6dy7n3rpb08fj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.20205",
  "fulltext_url": null,
  "id": "6dy7n3rpb08fj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.20205",
  "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": "W7203874756",
  "pdf_url": "https://arxiv.org/pdf/2608.20205",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6dy7n3rpb08fj.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:09Z",
      "native_id": "2608.20205",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.20205"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Carleson measures, Volterra integral operators and multipliers for $Q_K$ spaces",
  "title_text": "Carleson measures, Volterra integral operators and multipliers for Q_K spaces",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/6dy7n3rpb08fj",
  "venue": "arXiv",
  "versions": []
}