On a normality criterion of S. Mandelbrojt

P. V. Dovbush

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arXiv · 1302.1695

On a normality criterion of S. Mandelbrojt

P. V. Dovbush

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Abstract

Extension of classical Mandelbrojt's criterion for normality of a family of holomorphic zero-free functions of several complex variables is given. We show that a family of holomorphic functions of several complex variables whose corresponding Levi form are uniformly bounded away from zero is normal.

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P. V. Dovbush. 2013-02-07. On a normality criterion of S. Mandelbrojt. https://arxiv.org/abs/1302.1695

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