RUS  ENG
Full version
JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2022 Issue 2, Pages 17–21 (Mi izkab425)

PHYSICAL-MATHEMATICAL SCIENCES

Some remarks on Blaschke type products in area Nevanlinna type spaces in the unit disk

R. F. Shamoyana, O. Mihicb

a I. G. Petrovsky Bryansk State University, 241036, Russia, Bryansk, 14 Bezhitskaya street
b University of Belgrade, 11000, Serbia, Bеlgrade, Student Square 1

Abstract: The intention of this paper is to introduce and study certain new analytic spaces in disk and to show that certain Blaschke type products belong to such so called new large Nevanlinna type classes in the unit disk. These results extend and complement some previously known assertions of this type obtained earlier by other authors. Our result may be used to get parametric representations of these large spaces of area Nevanlinna type via infinite products.

Keywords: Blaschke type infinite products, area Nevanlinna type spaces, Nevanlinna characteristic, parametric representations, analytic function.

UDC: 517.55+517.33

MSC: Primary 32A10; Secondary 32A37

Received: 10.03.2022
Accepted: 15.04.2022

Language: English

DOI: 10.35330/1991-6639-2022-2-106-17-21



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024