拟凸域上沿某些方向的边界Schwarz引理

Boundary Schwarz Lemma of Pseudoconvex Domains along Some Directions

本文直接利用全纯映照的性质研究边界Schwarz引理,建立了拟凸域上沿某些满足正定条件的方向的边界Schwarz引理.文章推广了强拟凸域情形的主要结果,但是证明的方法是不一样的.

In this paper,the author studies the boundary Schwarz lemma directly by using the properties of holomorphic mappings.A boundary Schwarz lemma along some directions satisfying positive definite conditions on pseudoconvex domains is established.This generalizes the main results in the case of strongly pseudoconvex domains,but the methods of proof are different.