  In this paper we study the boundary values of harmonic and holo- morphic
functions in the weighted Hardy spaces on the unit disk $\mathbb{D}$. These
spaces were introduced by Poletsky and Stessin in [6] for plurisubharmonic
functions on hyperconvex domains $D \subset \mathbb{C}^n$ as generalizations of
classical Hardy spaces. We show that in the case when $D$ is the unit disk
$\mathbb{D}$ the theory of boundary values for functions in these spaces is
analogous to the classical one.
