Displaying similar documents to “Les fonctions continues et les fonctions intégrables au sens de Riemann comme sous-espaces de ℒ 1 ”

Les topologies sygma-Lebesgue sur C(X).

Belmesnaoui Aqzzouz, Redouane Nouira (2004)

Extracta Mathematicae

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We prove that if X is a compact topological space which contains a nontrivial metrizable connected closed subset, then the vector lattice C(X) does not carry any sygma-Lebesgue topology.

Enveloppes polynomiales de variétés réelles dans C.

Boris Gourlay (1993)

Publicacions Matemàtiques

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We present here three examples concerning polynomial hulls of some manifolds in C2. 1. Some real surfaces with equation w = P (z,z') + G(z) where P is a homogeneous polynomial of degree n and G(z) = o(|z|n) at 0 which are locally polynomially convex at 0. 2. Some real surfaces MF with equation w = zn+kz'n + F(z,z') such that the hull of Mf ∩...

Extension et division dans les variétés à croisements normaux.

Abderrabi Maati, Emmanuel Mazzilli (2001)

Publicacions Matemàtiques

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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...