{"paper":{"title":"Weighted estimates for diffeomorphic extensions of homeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Haiqing Xu","submitted_at":"2019-05-22T19:04:29Z","abstract_excerpt":"Let $\\Omega \\subset \\mbr^2$ be an internal chord-arc domain and $\\varphi : \\mbs^1 \\rightarrow \\partial \\Omega$ be a homeomorphism. Then there is a diffeomorphic extension $h : \\mbd \\rightarrow \\Omega$ of $\\varphi .$ We study the relationship between weighted integrability of the derivatives of $h$ and double integrals of $\\varphi$ and of $\\varphi^{-1} .$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09330","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"}