{
  "abstract": "Let $Ω\\subsetneq\\mathbb C$ be a non-empty simply connected domain and $0<p<2$. Bouchala and Koskela [Proc. Amer. Math. Soc. (2024)] proved that there exists a quasiconformal map $f:\\mathbb D\\toΩ$ such that $\\int_0^1\\ell(f(r S^1))^p\\,dr<\\infty$, and asked whether this conclusion holds at $p=2$, or even for every $0<p<2+\\varepsilon$ with some $\\varepsilon>0$. We answer this question affirmatively with $\\varepsilon=2/157$ by constructing a single smooth $5$-quasiconformal map $f:\\mathbb D\\toΩ$ satisfying this integrability condition simultaneously for every $0<p<2+2/157$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21009",
  "author_total": 1,
  "authors": [
    {
      "name": "Abhishek Pandey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ee3009p5hvee3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21009",
  "fulltext_url": null,
  "id": "ee3009p5hvee3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21009",
  "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.CV"
    ],
    [
      "openalex",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7222701755",
  "pdf_url": "https://arxiv.org/pdf/2610.21009",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ee3009p5hvee3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21009",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21009"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Length control for foliations by Jordan curves via smooth quasiconformal maps",
  "title_text": "Length control for foliations by Jordan curves via smooth quasiconformal maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/ee3009p5hvee3",
  "venue": "arXiv",
  "versions": []
}