{
  "abstract": "We consider the Besov space $B^{p,q}_\\alpha(G)$ on a unimodular Lie group G equipped with a sublaplacian $\\Delta$. Using estimates of the heat kernel associated with $\\Delta$, we give several characterizations of Besov spaces, and show an algebra property for $B^{p,q}_\\alpha(G)$ for $\\alpha>0$, $1\\leq p,q \\leq +\\infty$. These results hold for polynomial as well as for exponential volume growth of balls.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "1505.06991",
  "author_total": 1,
  "authors": [
    {
      "name": "Joseph Feneuil"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/97j3krdp6qafe.bib",
  "cited_by": 10,
  "doi": "10.4064/cm6649-12-2017",
  "fulltext_url": null,
  "id": "97j3krdp6qafe",
  "issns": [],
  "landing_url": "https://hal.science/hal-01167382v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-fa"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W2963427104",
  "pdf_url": "https://hal.science/hal-01167382/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/97j3krdp6qafe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:46Z",
      "native_id": "hal-01167382",
      "source": "hal",
      "url": "https://hal.science/hal-01167382v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-fa",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Algebra properties for Besov spaces on unimodular Lie groups",
  "title_text": "Algebra properties for Besov spaces on unimodular Lie groups",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:46Z",
  "url": "https://research.draconitic.com/paper/97j3krdp6qafe",
  "venue": "Colloquium Mathematicum",
  "versions": []
}