{
  "abstract": "We extend the wavelet and tent space characterization of $h^1(\\mathbb{R}^n)$ to $0<p\\le 1$ via a local dyadic tent space $t_p$, and derive the unconditional $L^2$-convergence of the resulting atomic decomposition, with an exact error identity refining Ding, Jiang and Zhu (2019).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35886",
  "author_total": 1,
  "authors": [
    {
      "name": "Mohamed El Aoumari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ymhvjgeywd3f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35886",
  "fulltext_url": null,
  "id": "3ymhvjgeywd3f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35886",
  "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.CA"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7224137834",
  "pdf_url": "https://arxiv.org/pdf/2610.35886",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ymhvjgeywd3f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.35886",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35886"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Exact $L^2$ convergence through the wavelet and tent space characterizations of $h^p(\\mathbb{R}^n)$, $0<p\\le 1$",
  "title_text": "Exact L^2 convergence through the wavelet and tent space characterizations of h^p(ℝ^n), 0<p≤ 1",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/3ymhvjgeywd3f",
  "venue": "arXiv",
  "versions": []
}