Convex mappings on some Reinhardt domains |
| |
| Authors: | Yi Hong Wen Ge Chen |
| |
| Affiliation: | (1) School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, P. R. China |
| |
| Abstract: | In this paper, we consider the following Reinhardt domains. Let M = (M
1, M
2, ...,M
n
): 0, 1] → 0, 1]
n
be a C
2-function and M
j
(0) = 0, M
j
(1) = 1, M
j
″ > 0,  < M
j′ (r) <  , r ∈ (0, 1), p
j
> 2, 1 ≤ j ≤ n, 0 < C
1j
< C
2j
be constants. Define Then D
M
⊂ ℂ
n
is a convex Reinhardt domain. We give an extension theorem for a normalized biholomorphic convex mapping f: D
M
→ ℂ
n
.
This work is partially supported by the Natural Science Foundation of China (Grant No. 10671194 and 10731080/A01010501) |
| |
| Keywords: | Reinhardt domain biholomorphic convex mapping Minkowski functional Schwarz lemma |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
