摘要
In [1], Roper and Suffridge introduced an extension operator. This operator is defined for normalized locally univalent function f on the unit disc U = {z ∈ C: |z| ＜ 1} in C by Фn(f)(z)=(f(z1),√f'(z1)z0),where z = (z1,z0) belongs to the unit ball Bn in Cn, z1 ∈ U, z0 = (z2,…,zn) ∈ Cn-1, and we choose the branch of the square root such that √f'(0) = 1.
In [1], Roper and Suffridge introduced an extension operator. This operator is defined for normalized locally univalent function f on the unit disc U = {z∈C：｜z｜〈1} in C by Фn（f）（z）=（f（z1）,√ f′（z1）z0）, where z = （z1,z0） belongs to the unit ball Bn in Cn, z1∈U, z0 = （z2,...,zn） ∈ C^n-1.
出处
《数学进展》
CSCD
北大核心
2005年第4期506-508,共3页
Advances in Mathematics（China）
基金
This work is partly supported by the National Natural Science Foundation of China(No. 10471048)the Education Commission Foundation of Fujian Province, China(No. JA02146)the science and technical development foundation of Fuzhou University, China(No. 2003-XY-11)
