内球性质和拟共形映射

Interior Ball Property and Quasiconformal Mappings

研究了一类具有内球性质区域的几何与分析性质,证明了f(∞)=∞的同胚f:n→n是拟共形映射当且仅当f保持区域的内球性质不变,并获得了该类区域若干有趣的几何性质。

The geometric and analytic properties for a class of domains with the interior ball property are studied. The authors prove that a homeomorphism f：R^-n→R^-n with f（∞）=∞ is a quasiconformal mapping if and only if f preserves the interior ball property, and obtain some other interesting geometric properties for a domain with interior ball property.