Approximation numbers of composition operators on the Hardy space of the infinite polydisk

Daniel Li (1) , Hervé Queffélec (2) , L Rodríguez-Piazza (3)

1 LML - Laboratoire de Mathématiques de Lens
2 LPP - Laboratoire Paul Painlevé - UMR 8524
3 Departamento de Analisis Matematico

We study the composition operators of the Hardy space on D ∞ ∩ ℓ 1 , the ℓ 1 part of the infinite polydisk, and the behavior of their approximation numbers.

Mots clés: approximation numbers; composition operator; Hardy space; infinite polydisk

Domaines: Analyse fonctionnelle [math.FA]

Daniel Li, Hervé Queffélec, L Rodríguez-Piazza. Approximation numbers of composition operators on the Hardy space of the infinite polydisk. 2017. ⟨hal-01489224⟩