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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Vydáno v:Complex variables and elliptic equations Ročník 59; číslo 10; s. 1388 - 1394
Hlavní autor: Dovbush, P.V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Colchester Taylor & Francis 03.10.2014
Taylor & Francis Ltd
Témata:
Complex variables
Criteria
holomorphic functions of several complex variables
Mathematical analysis
normal families
Normality
ISSN:1747-6933, 1747-6941
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Shrnutí: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 normal.
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ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2013.854342