Schwarz Lemma at the Boundary on the Classical Domain of Type Ⅲ

作者：Taishun LIU; Xiaomin TANG^*; Wenjun ZHANG

来源：Chinese Annals of Mathematics Series B, 2020, 41(03): 335-360.

Let RⅢ(n) be the classical domain of type Ⅲ with n≥2. This article is devoted to a deep study of the Schwarz lemma on RⅢ(n) via not only exploring the smooth boundary points of RⅢ(n) but also proving the Schwarz lemma at the smooth boundary point for holomorphic self-mappings of RⅢ(n).