{
  "abstract": "Let $d\\in [0, n]$ and let $E\\subset \\mathbb{R}^n$ be a closed $d$-thick set. Given $p\\in [1, \\infty]$, $q\\in (0, \\infty]$, and $s\\in (\\frac{n-d}{p}, 1)$, we provide an intrinsic description of the trace-space of the Besov space $B^s_{p, q}(\\mathbb{R}^n)$ to $E$. If, in addition, $p<\\infty$, we give an intrinsic description of the trace-space of the Lizorkin--Triebel space $F^s_{p, q}(\\mathbb{R}^n)$ to $E$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19520",
  "author_total": 1,
  "authors": [
    {
      "name": "Aleksei Y. Chikalov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9hsqb54a3xe5t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19520",
  "fulltext_url": null,
  "id": "9hsqb54a3xe5t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19520",
  "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.FA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7213608585",
  "pdf_url": "https://arxiv.org/pdf/2609.19520",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9hsqb54a3xe5t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2609.19520",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19520"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Traces of Besov and Lizorkin--Triebel spaces to thick subsets of $\\mathbb{R}^n$",
  "title_text": "Traces of Besov and Lizorkin--Triebel spaces to thick subsets of ℝ^n",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/9hsqb54a3xe5t",
  "venue": "arXiv",
  "versions": []
}