1. There are fruitful results in geometrical function theory of one complex variable. But there exist a lot of counter examples to show that the corresponding results in several complex variables are not true. For the...1. There are fruitful results in geometrical function theory of one complex variable. But there exist a lot of counter examples to show that the corresponding results in several complex variables are not true. For the classical distortion theorem in one complex variable, H. Cartan conjectured that it is valid for the biholomorphic mappings on the unit ball B^n in C^n (n≥2). Unfortunately, this conjecture is not true(see [2]). In this report, we will consider the distortion theorem of biholomorphic mappings on transitive do-展开更多
文摘1. There are fruitful results in geometrical function theory of one complex variable. But there exist a lot of counter examples to show that the corresponding results in several complex variables are not true. For the classical distortion theorem in one complex variable, H. Cartan conjectured that it is valid for the biholomorphic mappings on the unit ball B^n in C^n (n≥2). Unfortunately, this conjecture is not true(see [2]). In this report, we will consider the distortion theorem of biholomorphic mappings on transitive do-
