A generalization of the Bohr inequality and its applications

Abstract

Bohr's classical theorem and its generalizations are now active areas of research and have been the source of investigations in numerous function spaces. In this article, we study a generalized Bohr inequality for the class of bounded analytic functions defined on the simply connected domain Ωγ:={z∈C:|z+γ1−γ|<11−γ},for 0≤γ<1. Part of its applications, we calculate the Bohr-type radii for some known integral operators.

Topics & Concepts