Normality criteria for families of holomorphic mappings of several complex variables into 𝑃^{𝑁}(𝐶)

Tu, Zhen-han

doi:10.1090/S0002-9939-99-04610-9

Normality criteria for families of holomorphic mappings of several complex variables into $P^N(C)$
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Proc. Amer. Math. Soc. 127 (1999), 1039-1049 Request permission

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 $P^N(C)$, 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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