{"paper":{"title":"Value Ranges of Univalent Self-Mappings of the Unit Disc","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Julia Koch, Sebastian Schleissinger","submitted_at":"2015-08-19T14:35:15Z","abstract_excerpt":"We describe the value set $\\{f(z_0)\\,:\\, f:\\mathbb{D}\\to\\mathbb{D} \\text{ univalent}, f(0)=0, f'(0)= e^{-T} \\},$ where $\\mathbb{D}$ denotes the unit disc and $z_0\\in\\mathbb{D}\\setminus\\{0\\}$, $T>0,$ by applying Pontryagin's maximum principle to the radial Loewner equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04659","kind":"arxiv","version":2},"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"}