论文标题
多边形结构域中的内在指标
Intrinsic metrics in polygonal domains
论文作者
论文摘要
我们研究了复杂平面中凸多边形结构域中双曲线度量和内在度量的不平等。特别注意矩形中三角形比率度量。一项本地研究导致对平面域的任意点和点到边界的距离处的共形半径之间的关系进行了研究。
We study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. Special attention is paid to the triangular ratio metric in rectangles. A local study leads to an investigation of the relationship between the conformal radius at an arbitrary point of a planar domain and the distance of the point to the boundary.
