Hardy spaces on some pseudoconvex domains

We consider Hardy spacesH ^p,p ≤ 1, of holomorphic functions in the interior of Ω. where Ω is either a strongly pseudoconvex domain inC ⁿ or a weakly pseudoconvex domain of finite type inC ². We exhibit an atomic decomposition for the boundary values of these functions (in the sense of distributions), thus showing that they belong to the local real Hardy spacesh ^p(?Ω).