{
  "abstract": "Let $(X,ρ,μ)$ be a space of homogeneous type satisfying $μ(X) =\\infty$, the doubling property and the reverse doubling condition. Let $L$ be a nonnegative self-adjoint operator on $L^2(X)$ whose heat kernel has a Gaussian upper bound. First, we study the preduals of weighted Bourgain-Morrey spaces on $X$ and their properties, such as lattice property and completeness. Then we introduce the weighted homogeneous Besov-Triebel-Lizorkin block spaces. It is shown that they are the preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with the operator $L$. Consequently, these block spaces are independent of the choice of partitions of unity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29980",
  "author_total": 3,
  "authors": [
    {
      "name": "Tengfei Bai"
    },
    {
      "name": "Pengfei Guo"
    },
    {
      "name": "Jingshi Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a8zfte3mzmkdb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29980",
  "fulltext_url": null,
  "id": "a8zfte3mzmkdb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29980",
  "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": "W7214329460",
  "pdf_url": "https://arxiv.org/pdf/2609.29980",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a8zfte3mzmkdb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29980",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29980"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with operators",
  "title_text": "Preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/a8zfte3mzmkdb",
  "venue": "arXiv",
  "versions": []
}