S. L. Berberyan, “On boundedness and angular boundary values of subharmonic functions of classes <nobr>$\mathfrak{R}^\theta$</nobr>”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, Number 4,Pages <nobr>85

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Brief communications

On boundedness and angular boundary values of subharmonic functions of classes $\mathfrak{R}^\theta$

S. L. Berberyan

Russian-Armenian (Slavonic) University, 123 Ovsep Emin str., Yerevan, 0051 Armenia

Abstract: In this paper we study the uniform boundedness in hypercyclic domains of subharmonic functions of classes $\mathfrak{R}^\theta$ and its relation to existence of angular limits at points of the unit circumference.

Keywords: subharmonic functions, angular limit, $\mathfrak{R}^\theta$ classes, hypercycle, hypercycle domain.

UDC: 517.538

Received: 19.10.2018
Revised: 19.10.2018
Accepted: 19.12.2018

DOI: 10.26907/0021-3446-2019-4-85-88