On a Normality Criterion of W. Schwick
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DOVBUSH, Peter. On a Normality Criterion of W. Schwick. In: Journal of Geometric Analysis, 2021, nr. 5(31), pp. 5355-5358. ISSN 1050-6926. DOI: https://doi.org/10.1007/s12220-020-00481-4
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Journal of Geometric Analysis
Numărul 5(31) / 2021 / ISSN 1050-6926 /ISSNe 1559-002X

On a Normality Criterion of W. Schwick

DOI:https://doi.org/10.1007/s12220-020-00481-4

Pag. 5355-5358

Dovbush Peter
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 6 mai 2021


Rezumat

In this paper, as an application of Zalcman’s lemma in Cn, 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.

Cuvinte-cheie
Holomorphic functions of several complex variables, Normal families, Zalcman’s Lemma

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