{
  "abstract": "Let $α\\in\\mathbb R$, $0<p<\\infty$, $0<q,r\\le\\infty$, and $W$ be a matrix $\\mathcal A_p$ weight on ${\\mathbb R}^n$. We introduce the matrix-weighted $Z$-spaces $Z^{p,q,r}_α(W)$ and tent spaces $T^{p,q,r}_α(W)$ on the upper half-space and establish their characterizations using reducing operators. We then characterize homogeneous matrix-weighted Besov and Triebel--Lizorkin spaces in terms of the corresponding $Z$-spaces and tent spaces, respectively, using Schwartz kernels satisfying Tauberian and finite moment conditions. Furthermore, we establish duality for the matrix-weighted $Z$-spaces and tent spaces and obtain real and complex interpolation results for these spaces and the associated homogeneous matrix-weighted Besov and Triebel--Lizorkin spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04810",
  "author_total": 3,
  "authors": [
    {
      "name": "Tengfei Bai"
    },
    {
      "name": "Pengfei Guo"
    },
    {
      "name": "Jingshi Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1qfn2ra2py0yy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04810",
  "fulltext_url": null,
  "id": "1qfn2ra2py0yy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04810",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04810",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1qfn2ra2py0yy.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04810",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04810"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Matrix-weighted $Z$-spaces and tent spaces:characterizations, duality and interpolation",
  "title_text": "Matrix-weighted Z-spaces and tent spaces:characterizations, duality and interpolation",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/1qfn2ra2py0yy",
  "venue": "arXiv",
  "versions": []
}