On a normality criterion of Mandelbrojt

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

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Bibliographic Details

Published in:	Complex variables and elliptic equations Vol. 59; no. 10; pp. 1388 - 1394
Main Author:	Dovbush, P.V.
Format:	Journal Article
Language:	English
Published:	Colchester Taylor & Francis 03.10.2014 Taylor & Francis Ltd
Subjects:	Complex variables Criteria holomorphic functions of several complex variables Mathematical analysis normal families Normality
ISSN:	1747-6933, 1747-6941
Online Access:	Get full text
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