On a boundary properties of functions from a class Hp(p ≥ 1)

Abstract

In this paper, the structural properties of a function are characterized by moduli of continuity. The classical Hardy-Littlewood theorem describes a relation between the smoothness of the analytic function boundary values at the boundary of its analyticity and the growth rate of the modulus of its higher-order derivatives. An analogue of the Hardy-Littlewood theorem has been obtained for functions from the class Hp and higher-order moduli of continuity.