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| Proper Holomorphic Mappings Between Some Nonsmooth Domains |
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Citation： |
CHEN Zhihua,XU Dekang.Proper Holomorphic Mappings Between Some Nonsmooth Domains[J].Chinese Annals of Mathematics B,2001,22(2):177~182 |
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Net amount： 710 |
Authors： |
CHEN Zhihua; XU Dekang |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19631010). |
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| Abstract： |
The authors characterize the existence of proper holomorphic mapping between a kind of nonsmooth Reinhardt domains defined as
$$
\Omega(p,q)=\Omega (p_1,...,p_n,q_1,...,q_m)
=\{(z,\omega)\in C^{n+m}:\sum^n_{i=1}|z_i|^{2p_i}<\sum^m_{j=1}|\omega_j|^{2q_j}<1\},
$$
where
$
p=(p_1,...,p_n)\in (Z^+)^n, q=(q_1,...,q_m)\in (Z^+)^m; n>1, m>1.
$ |
Keywords： |
Proper holomorphic mapping, Reinhardt domain, Levi-form |
Classification： |
32H02 |
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