单位球与有$C^{1,α}$边界区域之间的QCH映射
QCH mappings between unit ball and domain with $C^{1,α}$ boundary
摘要：
我们证明了以下几点。若$f$是$\mathbb{R}^n$中的单位球与具有$C^{1,α}$边界的空间域之间的调和拟共形映射，则$f$在$B$中是Lipschitz连续的.这推广了$n=2$的一些已知结果，改进了高维情形下的一些结果.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
