Hardy spaces on some pseudoconvex domains (Q1336075)

We consider Hardy spaces \({\mathcal H}^ p\), \(p\leq 1\), of holomorphic functions in the interior of \(\Omega\), where \(\Omega\) is either a strongly pseudoconvex domain in \(\mathbb{C}^ n\) or a weakly pseudoconvex domain of finite type in \(\mathbb{C}^ 2\). We exhibit an atomic decomposition for the boundary values of these functions (in the sense of distributions), thus showing they belong to the local real Hardy spaces \({\mathcal H}^ p(\partial\Omega)\).