Abstract
Let Ξ© be a relatively open subset of the unit sphere βπΉ n = {z β β n : βzβ = 1}, with smooth boundary Ξ relative to βπΉ n , and let ΟΞ© be the characteristic function of Ξ©. Let E(Ξ) denote the set of points z β Ξ such that the manifold Ξ is not generic at z. We show that if f β C 1(βπΉ n ) the Cauchy transform of fΟΞ© extends continuously to each point of βπΉ n βE(Ξ).
Keywords: