{
  "abstract": "We confirm a conjecture posed by T. Iwaniec in 1982: the $L^p$ norm of the Beurling--Ahlfors transform is $p-1$ if $p\\geq 2$, and $(p-1)^{-1}$ if $1<p\\leq 2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28311",
  "author_total": 20,
  "authors": [
    {
      "name": "Andrea Agazzi"
    },
    {
      "name": "Kari Astala"
    },
    {
      "name": "Rodrigo Bañuelos"
    },
    {
      "name": "Giuseppe Bruno"
    },
    {
      "name": "Gabriele Cassese"
    },
    {
      "name": "Daniel Faraco"
    },
    {
      "name": "André Guerra"
    },
    {
      "name": "Mahdi Hormozi"
    },
    {
      "name": "Bernd Kirchheim"
    },
    {
      "name": "Aleksis Koski"
    },
    {
      "name": "Vjekoslav Kovač"
    },
    {
      "name": "Jan Kristensen"
    },
    {
      "name": "Federico Pasqualotto"
    },
    {
      "name": "István Prause"
    },
    {
      "name": "Eero Saksman"
    },
    {
      "name": "Vladimír Šverák"
    },
    {
      "name": "László Székelyhidi"
    },
    {
      "name": "Riccardo Tione"
    },
    {
      "name": "Alexander Volberg"
    },
    {
      "name": "Hang Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1q4b2q1x0fyzn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28311",
  "fulltext_url": null,
  "id": "1q4b2q1x0fyzn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28311",
  "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.AP"
    ],
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7214226444",
  "pdf_url": "https://arxiv.org/pdf/2609.28311",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1q4b2q1x0fyzn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2609.28311",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28311"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp Higher Integrability Theory, Part I: The $L^p$-norm of the Beurling--Ahlfors transform",
  "title_text": "Sharp Higher Integrability Theory, Part I: The L^p-norm of the Beurling--Ahlfors transform",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/1q4b2q1x0fyzn",
  "venue": "arXiv",
  "versions": []
}