Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

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

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

We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B_d$ and the polydisk $D^d$ .

Keywords: approximation numbers; bounded symmetric domain; composition operator; Hardy space; polydisk; Reinhardt domain; several complex variables

Domains: Mathematics [math]; Functional Analysis [math.FA]

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk. 2015. ⟨hal-01146030⟩