KERNEL CONVERGENCE AND BIHOLOMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES
KERNEL CONVERGENCE AND BIHOLOMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES
复制标题
多复变量的核收敛性和双全态映射
DOI：
10.1155/s0161171203303321
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发表时间：
2003
影响因子：
1.2
通讯作者：
G. Kohr
中科院分区：
文献类型：
--
作者：
G. Kohr
讨论了C~n中双全纯等价于单位球B的区域的核收敛问题，证明了B上满足增长定理的双全纯映射在紧集上的收敛与核收敛是等价的。此外，我们还在研究B上的Loewner链、星形映射和凸映射时得到了这种等价性的某些结果。
We deal with kernel convergence of domains in C n which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem, and the kernel convergence. Moreover, we obtain certain consequences of this equivalence in the study of Loewner chains and of starlike and convex mappings on B.