Counterexamples to Bloch's Principle and its Converse in Several Complex Variables

preprint2022arXivOpen access

Abstract

In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are proved. Some Picard-type theorems and their corresponding normality criteria in Cn\mathbb C^{n} are also obtained.

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