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math.CV2019
Optimal extensions of conformal mappings from the unit disk to cardioid-type domains
Haiqing Xu
The conformal mapping from onto the standard cardioid has a homeomorphic extension of finite distortion to entire We study the optimal…
math.CV2019
Weighted estimates for diffeomorphic extensions of homeomorphisms
Haiqing Xu
Let $Ω\subset \mbr^2$ be an internal chord-arc domain and $φ: \mbs^1 \rightarrow \partial Ω$ be a homeomorphism. Then there is a diffeomorphic extension $h : \mbd \rightarrow Ω$ of…