ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES

Abstract

In this paper we obtain some properties of functions extremal with respect to Frechet-differentiable functionals defined on P' α (see defifnition 1) and, in consequence, estimates of the functional Re{e iλ p(z)}, 0≠z∈K, λ∈ [ -π, π ), p∈P' α.