Generalization of Lohwater-Pommerenke's Theorem
Complex Variables
2023-03-21 v1
Abstract
In this paper, as an application of Zalcman's lemma in , 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}.
Keywords
Cite
@article{arxiv.2303.10246,
title = {Generalization of Lohwater-Pommerenke's Theorem},
author = {P. V. Dovbush},
journal= {arXiv preprint arXiv:2303.10246},
year = {2023}
}
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4 pages