V. Munnier

activity

20142026

collaborators

5 papers

math.FA2026

Common frequently hypercyclic random vectors

Augustin Mouze, Vincent Munnier

We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on $ℓ_{p}$ spaces, $1 \leq p < \infty$ . Using probabilistic techniques, we de…

math.FA2024

Marcinkiewicz Type Theorems for Interpolation of Operators Acting on M{ü}ntz Spaces

Mickaël Latocca, Vincent Munnier

We prove interpolation results in the spirit of the Marcinkiewicz theorem. The operators considered in this article are defined on Müntz spaces, which are not dense subspaces of $L…

math.CA2024

Generalized Carleson Embeddings of M{ü}ntz Spaces

Mickaël Latocca, Vincent Munnier

This paper establishes Carleson embeddings of M{ü}ntz spaces $M_{Λ}^{q}$ into weighted Lebesgue spaces $L^{p} (d μ)$ , where $μ$ is a Borel regular measure on $[0, 1]$ satisfying $μ…

math.CA2022

Optimal growth of upper frequently hypercyclic functions for some weighted Taylor shifts

Augustin Mouze, Vincent Munnier

We are interested in the optimal growth in terms of $L^{p}$ -averages of hypercyclic and $U$ -frequently hypercyclic functions for some weighted Taylor shift operators acting…

math.FA2014

Generalized universal series

Stéphane Charpentier, Augustin Mouze, Vincent Munnier

We unify the recently developed abstract theories of universal series and extended universal series to include sums of the form $\sum_{k = 0}^{n} a_{k} x_{n, k}$ for given sequences of ve…