BIHOLOMORPHIC CONVEX MAPPINGS OF BALL IN C(N)

被引:31
作者
GONG, S
WANG, SK
YU, QH
机构
[1] Academia Sinica, BEIJING, 100080
关键词
D O I
10.2140/pjm.1993.161.287
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Bibolomorphic convex mappings from unit ball in C(n) into C(n) are studied in this paper. A Schwartz type lemma for the class of mappings and a necessary and sufficient condition under which a holomorphic mapping is biholomorphic and convex are established. The results are used to describe some characteristics of the image of the class of mappings.
引用
收藏
页码:287 / 306
页数:20
相关论文
共 9 条
[1]  
Duren P., 1986, COMPLEX VAR THEORY A, V5, P323
[2]  
FITZGERALD CH, 1990, CHINESE SCI BULL, V5, P353
[3]  
GONG S, 1990, CHIN ANN MATH B, V11, P100
[4]  
GONG S, 1990, CHINESE SCI BULL, V5, P330
[5]  
KIKUCHI K, 1973, PAC J MATH, V2, P569
[6]  
Liu T.J., 1989, THESIS
[7]  
Montel P, 1933, LECONS FONCTIONS UNI
[8]  
PINCHUK SI, 1989, SEVERAL COMPLEX VARI, V3
[9]   PRINCIPLE OF SUBORDINATION APPLIED TO FUNCTIONS OF SEVERAL VARIABLES [J].
SUFFRIDGE, TJ .
PACIFIC JOURNAL OF MATHEMATICS, 1970, 33 (01) :241-+