English

On a normality criterion of S. Mandelbrojt

Complex Variables 2013-02-08 v1

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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Cite

@article{arxiv.1302.1695,
  title  = {On a normality criterion of S. Mandelbrojt},
  author = {P. V. Dovbush},
  journal= {arXiv preprint arXiv:1302.1695},
  year   = {2013}
}

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