On a normality criterion of P. Lappan
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DOVBUSH, Peter. On a normality criterion of P. Lappan. In: Revue Roumaine de Mathematiques Pures et Appliquees, 2022, nr. 1-2(67), pp. 45-49. ISSN 0035-3965.
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Revue Roumaine de Mathematiques Pures et Appliquees
Numărul 1-2(67) / 2022 / ISSN 0035-3965

On a normality criterion of P. Lappan


Pag. 45-49

Dovbush Peter
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 8 iunie 2022


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, W. Schwick, and P. Lappan. 

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