Décomposition atomique des espaces de Bergman

The aim of this paper is to establish the theorem of atomic decomposition of weighted Bergman spaces $A^p(\Omega)$, where $\Omega$ is a domain of finite type in $\Bbb C^2$. We construct a kernel function $H(z,w)$ which is a reproducing kernel for $A^p(\Omega)$ and we prove that the associated integral operator $H$ is bounded in $L^p(\Omega)$.