E. E. Levi convexity and the Hans Lewy problem. Part II : vanishing theorems
Espaces de Stein et faisceaux localement libres.
Existence domains for holomorphic Lp functions.
If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).