Isometric and invertible composition operators on weighted Bergman spaces of Dirichlet series

Maxime Bailleul (1)

1 LML - Laboratoire de Mathématiques de Lens

We show that a composition operator on weighted Bergman spaces $\mathcal{A}_{\mu}^p$ is invertible if and only if it is Fredholm if and only if it is an isometry.

Mots clés: Composition operators; Bergman spaces; Dirichlet series

Domaines: Analyse fonctionnelle [math.FA]

Maxime Bailleul. Isometric and invertible composition operators on weighted Bergman spaces of Dirichlet series. 2014. ⟨hal-00978468⟩