{
  "abstract": "Lefèvre, Li, Queffélec, and Rodríguez-Piazza [12] recently characterized the sequences $β$ for which the weighted Hardy space $H^2(β)$ has the same bounded composition operators as the Hardy space $H^2$. We investigate the analogous questions for the compactness and the $p$-Schatten classes: for which sequences $β$ does the space $H^2(β)$ have the same compact or $p$-Schatten class composition operators as $H^2$?",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40148",
  "author_total": 3,
  "authors": [
    {
      "name": "Francisco J. Cruz-Zamorano"
    },
    {
      "name": "Eugenio Dellepiane"
    },
    {
      "name": "Daniel Seco"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cc4gesyydx9m8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40148",
  "fulltext_url": null,
  "id": "cc4gesyydx9m8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40148",
  "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"
    ],
    [
      "arxiv",
      "math.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40148",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cc4gesyydx9m8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.40148",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40148"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces",
  "title_text": "Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/cc4gesyydx9m8",
  "venue": "arXiv",
  "versions": []
}