Revistes Catalanes amb Accés Obert (RACO)

Décomposition atomique des espaces de Bergman

F. Symesak


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 $L^p(\Omega)$.

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