{"paper":{"title":"Quasiconformal mappings and H\\\"older continuity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Arsen Zlaticanin, David Kalaj","submitted_at":"2017-09-19T09:12:33Z","abstract_excerpt":"We establish that every $K$-quasiconformal mapping $w$ of the unit ball $\\IB$ onto a $C^2$-Jordan domain $\\Omega$ is H\\\"older continuous with constant $\\alpha= 2-\\frac{n}{p}$, provided that its weak Laplacean $\\Delta w$ is in $ L^p(\\IB)$ for some $n/2<p<n$. In particular it is H\\\"older continuous for every $0<\\alpha<1$ provided that $\\Delta w\\in L^n(\\IB)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06305","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}