THE SCHWARZ LEMMA AT THE BOUNDARY OF THE NON-CONVEX COMPLEX ELLIPSOIDS  

作　　者：Le HE Zhenhan TU 何乐;涂振汉(School of Mathematics and Statistics, Wuhan University)

机构地区：[1]School of Mathematics and Statistics, Wuhan University

出　　处：《Acta Mathematica Scientia》2019年第4期915-926,共12页数学物理学报（B辑英文版）

基　　金：The project supported in part by the National Natural Science Foundation of China(11671306)

摘　　要：Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}（0 < p < 1）. Then, B2,p（0 < p < 1） is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈ ?B2,p for holomorphic self-mappings of the non-convex complex ellipsoid B2,p, where z0 is any smooth boundary point of B2,p.Let B2,p :={z∈C2 :|z1|^2 +|z2|^p < 1}(0 < p < 1). Then, B2,p (0 < p < 1) is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈B2,p for holomorphic self-mappings of the non-convex complex ellipsoid ￡2?, where zq is any smooth boundary point of B2,p.

关 键 词：BOUNDARY SCHWARZ lemma HOLOMORPHIC mappings Kobayashi metric NONCONVEX COMPLEX ELLIPSOIDS 

分 类 号：O[理学]