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Extension et division dans les variétés à croisements normaux.

Abderrabi MaatiEmmanuel Mazzilli — 2001

Publicacions Matemàtiques

Let D be a bounded strictly pseudoconvex domain with smooth boundary and f = (f, ..., f) (f ∈ Hol(D)) a complete intersection with normal crossing. In this paper we study an extension problem in L-norm for holomorphic functions defined on f(0) ∩ D and a decomposition formula g = ∑ fg for holomorphic functions g ∈ I(D) in Lipschitz spaces. We stress that for the two problems the classical theorem cannot be applied because f(0) has singularities on the boundary ∂D. This work is the...

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