On a Normality Criterion of W. Schwick

In this paper, as an application of Zalcman’s lemma in C n , we give a sufficient condition for normality of a family of holomorphic functions of several complex variables, which generalizes previous known one-dimensional results of H.L. Royden and W. Schwick.

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Vydáno v:The Journal of geometric analysis Ročník 31; číslo 5; s. 5355 - 5358
Hlavní autor: Dovbush, P. V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.05.2021
Springer Nature B.V
Témata:
Abstract Harmonic Analysis
Analytic functions
Complex variables
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematical analysis
Mathematics
Mathematics and Statistics
Normal families
32A19
Holomorphic functions of several complex variables
Zalcman’s Lemma
ISSN:1050-6926, 1559-002X
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Shrnutí:In this paper, as an application of Zalcman’s lemma in C n , we give a sufficient condition for normality of a family of holomorphic functions of several complex variables, which generalizes previous known one-dimensional results of H.L. Royden and W. Schwick.
Bibliografie:ObjectType-Article-1
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ObjectType-Feature-2
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ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-020-00481-4