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Décomposition atomique des espaces de Bergman.

Frédéric Symesak — 1995

Publicacions Matemàtiques

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

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