{
  "abstract": "This article investigates random Dirichlet series within the framework of Hardy and mixed norm spaces of Dirichlet series. We completely characterize when the random symbol space of the Hardy space $\\mathscr{H}^p$ coincides with $\\mathscr{H}^2$. In the setting of mixed norm spaces $\\mathscr{H}^{p,q}_α$, the corresponding characterizations for the random symbol space of $\\mathscr{H}^{p,q}_α$ coinciding with $\\mathscr{H}^{2,q}_α$ are given when $q\\geq4$, and some sufficient and necessary conditions are established when $q<4$. We also obtain some integrability results when Dirichlet series belong to the corresponding random symbol spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17876",
  "author_total": 3,
  "authors": [
    {
      "name": "Jiale Chen"
    },
    {
      "name": "Min He"
    },
    {
      "name": "Maofa Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2b4m7wc8b8hfk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17876",
  "fulltext_url": null,
  "id": "2b4m7wc8b8hfk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17876",
  "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.CV"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7221778818",
  "pdf_url": "https://arxiv.org/pdf/2610.17876",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2b4m7wc8b8hfk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17876",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17876"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A converse to Littlewood-type theorem for random Dirichlet series",
  "title_text": "A converse to Littlewood-type theorem for random Dirichlet series",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/2b4m7wc8b8hfk",
  "venue": "arXiv",
  "versions": []
}