Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains

DOI10.1007/s10473-023-0121-8OpenAlexW4306685802MaRDI QIDQ2088168

Zhuang Wang, Haiqing Xu

Publication date: 21 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07873

zbMATH Keywords

Poisson extensionOrlicz-Sobolev homeomorphismsquasihyperbolic domainsweighted Sobolev homeomorphisms

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic maps, etc. (58E20) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of the inverse of a homeomorphism with finite inner distortion
• Quasicircles modulo bilipschitz maps
• Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings
• Sobolev homeomorphic extensions
• \(L^p\)-integrability \& weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\)
• Hölder continuity of conformal mappings and non-quasiconformal Jordan curves
• Quasiconformally homogeneous domains
• Controlled diffeomorphic extension of homeomorphisms
• Generalized quasidisks and conformality: progress and challenges
• Regularity of \(p\)-harmonic mappings into NPC spaces
• Weighted estimates for diffeomorphic extensions of homeomorphisms
• Sobolev homeomorphic extensions onto John domains
• Optimal extensions of conformal mappings from the unit disk to cardioid-type domains
• Harmonic homeomorphisms of the closed disc to itself need be in $W^\{1,p\}$, $p<2$, but not $W^\{1,2\}$
• The planar Schönflies theorem for Lipschitz maps
• Extremal mappings of finite distortion
• Domains with growth conditions for the quasihyperbolic metric
• Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings

This page was built for publication: Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains