S. Charpentier

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20112021

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math.CV2021

Universal sequences of composition operators

Stéphane Charpentier, Augustin Mouze

Let $G$ and $Ω$ be two planar domains. We give necessary and sufficient conditions on a sequence $(ϕ_{n})$ of eventually injective holomorphic mappings from $G$ to $Ω$ for the existe…

math.CV2019

Construction of labyrinths in pseudoconvex domains

Stéphane Charpentier, Łukasz Kosiński

We build in a given pseudoconvex (Runge) domain $D$ of $C^{N}$ a $O (D)$ convex set $Γ$ , every connected component of which is a holomorphically contractible (convex…

math.CV2019

Wild boundary behaviour of holomorphic functions in domains of $C^{N}$

Stéphane Charpentier, Łukasz Kosiński

Given a domain of holomorphy $D$ in $C^{N}$ , $N \geq 2$ , we show that the set of holomorphic functions in $D$ whose cluster sets along any finite length paths to the boundary…

Universal sequences of composition operators

Construction of labyrinths in pseudoconvex domains

Wild boundary behaviour of holomorphic functions in domains of CN

Wild boundary behaviour of holomorphic functions in domains of $C^{N}$