论文标题
单位磁盘中的三角形比率
Triangular ratio metric in the unit disk
论文作者
论文摘要
在域中研究了三角形比率度量，$ g \ subsetneq \ mathbb {r}^n $，$ n \ geq2 $。该指标证明了几个尖锐的边界，尤其是在域是复杂平面的单位磁盘的情况下。该结果用于研究准文化映射的Hölder连续性。
The triangular ratio metric is studied in a domain $G\subsetneq\mathbb{R}^n$, $n\geq2$. Several sharp bounds are proven for this metric, especially, in the case where the domain is the unit disk of the complex plane. The results are applied to study the Hölder continuity of quasiconformal mappings.
