论文标题
用$ c^{1，α} $边界之间的单位球和域之间的QCH映射
QCH mappings between unit ball and domain with $C^{1,α}$ boundary
论文作者
论文摘要
我们证明了以下内容。如果$ f $是$ \ mathbb {r}^n $中的单位球之间的谐波准表映射，而$ c^{1，α} $边界的空间域，则$ f $是$ b $中的lipschitz。这概括了一些$ n = 2 $的已知结果，并在较高维度的情况下改善了其他一些结果。
We prove the following. If $f$ is a harmonic quasiconformal mapping between the unit ball in $\mathbb{R}^n$ and a spatial domain with $C^{1,α}$ boundary, then $f$ is Lipschitz continuous in $B$. This generalizes some known results for $n=2$ and improves some others in higher dimensional case.
