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...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Complex variables and elliptic equations Ročník 59; číslo 10; s. 1388 - 1394
Hlavný autor: Dovbush, P.V.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Colchester Taylor & Francis 03.10.2014
Taylor & Francis Ltd
Predmet:
Complex variables
Criteria
holomorphic functions of several complex variables
Mathematical analysis
normal families
Normality
ISSN:1747-6933, 1747-6941
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
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.
Bibliografia:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2013.854342