{
  "abstract": "In this paper, we further investigate the properties of Herz-type Sobolev spaces on domains, which unify and generalize the classical Sobolev spaces. In particular, we establish several Sobolev-type embedding theorems for these spaces. Moreover, by means of a suitable example, we show that some of the assumptions imposed on the parameters are optimal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22570",
  "author_total": 1,
  "authors": [
    {
      "name": "Douadi Drihem"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/82qrrg1w6e8wr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22570",
  "fulltext_url": null,
  "id": "82qrrg1w6e8wr",
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  "landing_url": "https://arxiv.org/abs/2610.22570",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
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      "openalex",
      "2604|Advanced Harmonic Analysis Research"
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  "openalex": "W7222925149",
  "pdf_url": "https://arxiv.org/pdf/2610.22570",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/82qrrg1w6e8wr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.22570",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22570"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Embedding theorems for Herz-Type Sobolev spaces on domains",
  "title_text": "Embedding theorems for Herz-Type Sobolev spaces on domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/82qrrg1w6e8wr",
  "venue": "arXiv",
  "versions": []
}