论文标题
polydisk中同构映射的家族
Families of Homomorphic Mappings in the Polydisk
论文作者
论文摘要
我们研究了在伯格曼度量标准中限制了Schwarzian运营商的$¶$中定义的本地生物形态映射的类别。我们建立了相关的微分方程系统的特定解决方案的重要属性，并显示了类的顺序和覆盖属性之间的几何连接。我们显示了修改后的稍大级别，表明该顺序是Lipschitz相对于Schwarzian上的绑定而言是连续的，并使用它来估计原始类的顺序。
We study classes of locally biholomorphic mappings defined in the $¶$ that have bounded Schwarzian operator in the Bergman metric. We establish important properties of specific solutions of the associated system of differential equations and show a geometric connection between the order of the classes and a covering property. We show for modified and slightly larger classes that the order is Lipschitz continuous with respect to the bound on the Schwarzian, and use this to estimate the order of the original classes.
