HARDY-SPACES ON SOME PSEUDOCONVEX DOMAINS

We consider Hardy spaces H(p), p less-than-or-equal-to 1, of holomorphic functions in the interior of OMEGA, where OMEGA is either a strongly pseudoconvex domain in C(n) or a weakly pseudoconvex domain of finite type in C2. 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 spaces h(p) Partial-Derivatives OMEGA).