Generalization of Lohwater-Pommerenke's Theorem

P. V. Dovbush

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arXiv · 2303.10246

Generalization of Lohwater-Pommerenke's Theorem

P. V. Dovbush

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Abstract

In this paper, as an application of Zalcman's lemma in $\mathbb{C}^n$, 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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P. V. Dovbush. 2023-03-17. Generalization of Lohwater-Pommerenke's Theorem. https://arxiv.org/abs/2303.10246

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