Generalization of Lohwater-Pommerenke's Theorem

2023/03/17 by Dovbush, P. V.
#32A18 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.10246

Abstract

In this paper, as an application of Zalcman's lemma in ℂⁿ, we give a sufficient condition for normality of holomorphic functions of several complex variables, which generalizes previous known one-dimensional criterion of A.J. Lohwater and Ch. Pommerenke \cite[Theorem 1]MR0338381.

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