Entropy numbers and spectral radius type formula for composition operators on the polydisk

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

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

We give estimates of the entropy numbers of composition operators on the Hardy space of the disk and of the polydisk.

Mots clés: composition operator; entropy numbers; polydisk; pluricapacity

Domaines: Analyse fonctionnelle [math.FA]

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. Entropy numbers and spectral radius type formula for composition operators on the polydisk. 2018. ⟨hal-01945888⟩