Hardy Spaces on the Polydisk

Abstract

In this paper we will study the boundary values properties of the funcions in the Hardy spaces; generalize the F. and M. Riesz theorem to higher dimension ; discuss the existance of boundary values of the functions in $H^p(\mathbb{D}^n)$ on non-distinguished boundary $\partial\mathbb{D}^n\setminus \mathbb{T}^n$ and the intersection of the spaces $H^p_u(\mathbb{D}^n)$.