{
  "abstract": "Let $L =-Δ+V$ be a Schrödinger operator on $\\mathbb{R}^n$, $n \\geq 3$, with the potential $V$ being nonnegative and belonging to the reverse Hölder class $RH_q$ for some $q >n/2$. For $0< α<2$, the Lipschitz space $Λ_L^α(\\mathbb{R}^n)$ adapted to $L$ is defined as the space of all measurable functions $f$ on $\\mathbb{R}^n$ such that \\[ \\|f\\|_{Λ_L^α}:= \\|ρ(\\cdot)^{-α}f(\\cdot)\\|_{L^\\infty}+ \\sup_{z \\in \\mathbb{R}^n \\backslash \\{0\\}} \\frac{\\|f(\\cdot + z) + f(\\cdot -z) -2 f(\\cdot)\\|_{L^\\infty}}{|z|^α} <\\infty, \\] where $ρ$ is the critical radius function related to $L$. In this paper, we provide characterizations of $Λ^α_L(\\mathbb{R}^n)$ in terms of Littlewood-Paley-type decompositions and Carleson measures, for $0< α< 2 -(n /q)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.17434",
  "author_total": 3,
  "authors": [
    {
      "name": "Qing Hong"
    },
    {
      "name": "Yanfang Xu"
    },
    {
      "name": "Guorong Hu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bj33swf000r6q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.17434",
  "fulltext_url": null,
  "id": "bj33swf000r6q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.17434",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.17434",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bj33swf000r6q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2606.17434",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.17434"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schrödinger operators",
  "title_text": "Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schrödinger operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/bj33swf000r6q",
  "venue": "arXiv",
  "versions": []
}