S. Charpentier

activity

20102022

most citedComposition operators on Bergman-Orlicz spaces on the ball

1 citations · 1 across the 10 of their papers we have counts for

collaborators

15 papers

math.CV2022

An extremal problem for the Bergman kernel of orthogonal polynomials

S. Charpentier, N. Levenberg, F. Wielonsky

Let $Γ \subset C$ be a curve of class $C (2, α)$ . For $z_{0}$ in the unbounded component of $C ∖ Γ$ , and for $n = 1, 2, ...$ , let $ν_{n}$ be a probability measure w…

math.CV2022

Abel universal series

S Charpentier, A Mouze

Given a sequence = (r n) n $\in$ [0, 1) tending to 1, we consider the set U A (D,) of Abel universal series consisting of holomorphic functions f in the open unit disc D such that…

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.FA2020

Common frequent hypercyclicity

Stéphane Charpentier, Romuald Ernst, Monia Mestiri +1

We provide with criteria for a family of sequences of operators to share a frequently universal vector. These criteria are variants of the classical Frequent Hypercyclicity Criteri…

math.FA2020

New classes of hypercyclic Toeplitz operators

Evgeny Abakumov, Anton Baranov, Stéphane Charpentier +1

We study hypercyclicity of Toeplitz operators in the Hardy space $H^{2} (D)$ with symbols of the form $R (z) + ϕ (z)$ , where $R$ is a rational function and $ϕ\in H^\i…

math.FA2019

Chaos and frequent hypercyclicity for weighted shifts

Stéphane Charpentier, Karl Grosse-Erdmann, Quentin Menet

Bayart and Ruzsa [Ergodic Theory Dynam. Systems 35 (2015)] have recently shown that every frequently hypercyclic weighted shift on $ℓ^{p}$ is chaotic. This contrasts with an earli…