Some examples of compact composition operators on $H^2$

Pascal Lefèvre (1) , Daniel Li (1) , Herve Queffelec (2) , Luis Rodriguez-Piazza (3)

1 LML - Laboratoire de Mathématiques de Lens
2 LPP - Laboratoire Paul Painlevé - UMR 8524
3 departamento analisis matematico

We constrcut in an essentially explicit way various composition operators on $H^2$ and study their compactness or their membership to the Schatten classes.

Domaines: Analyse fonctionnelle [math.FA]

Pascal Lefèvre, Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza. Some examples of compact composition operators on $H^2$. Journal of Functional Analysis, 2008, pp.3098. ⟨10.1016/j.jfa.2008.06.027⟩. ⟨hal-00372857⟩