Existence of Angular Boundary Values and Cauchy-Green Formula

Abstract

The aim of the paper is to find the conditions on the function F(z), determined in the domain G and having in G continuous partial derivatives, for validity of the following statements: i) almost everywhere F(z) has the finite angular boundary values F(t) on γ = ∂G; ii) the boundary values F(t) are A-integrable on γ; iii) the analog of the Cauchy-Green formula holds for F(z).