Normality criteria for families of holomorphic mappings of several complex variables into ![]() |
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| Authors: | Zhen-han Tu |
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| Affiliation: | Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong - Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China |
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| Abstract: | ![]()
By applying the heuristic principle in several complex variables obtained by Aladro and Krantz, we shall prove some normality criteria for families of holomorphic mappings of several complex variables into  , the complex N-dimensional projective space, related to Green's and Nochka's Picard type theorems. The equivalence of normality to being uniformly Montel at a point will be obtained. Some examples will be given to complement our theory in this paper. |
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| Keywords: | Complex projective spaces holomorphic mappings hyperplanes in general position normality criteria and Picard type theorems |
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