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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| Published in: | Complex variables and elliptic equations Vol. 59; no. 10; pp. 1388 - 1394 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
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Colchester
Taylor & Francis
03.10.2014
Taylor & Francis Ltd |
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| ISSN: | 1747-6933, 1747-6941 |
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| Abstract | 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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| AbstractList | 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. 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. [PUBLICATION ABSTRACT] |
| Author | Dovbush, P.V. |
| Author_xml | – sequence: 1 givenname: P.V. surname: Dovbush fullname: Dovbush, P.V. email: dovbush@math.md organization: Institute of Mathematics and Computer Science of Academy of Sciences of Moldova |
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| Cites_doi | 10.1007/978-1-4612-0907-2 10.1112/blms/12.4.241 10.1007/s11854-012-0016-4 10.1007/BF02544108 10.1090/S0002-9947-1974-0357850-9 |
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| References | Mandelbrojt S (CIT0001) 1929; 9 CIT0003 CIT0002 CIT0004 CIT0007 CIT0006 Dovbush PV (CIT0005) 1981; 36 |
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| Snippet | 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... |
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| SubjectTerms | Complex variables Criteria holomorphic functions of several complex variables Mathematical analysis normal families Normality |
| Title | On a normality criterion of Mandelbrojt |
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