A Carleson type condition for interpolating sequences in the unit ball of $C^n$

Eric Amar (1)

1 IMB - Institut de Mathématiques de Bordeaux

In this work, we prove that if S is a dual bounded sequence in the unit ball B of $C^n$ for the Hardy class $H^p(B)$, then S is $H^s(B)$ interpolating with the linear extension property.

Domaines: Variables complexes [math.CV]; Analyse fonctionnelle [math.FA]

Eric Amar. A Carleson type condition for interpolating sequences in the unit ball of $C^n$. Publicacions Matemàtiques, 2009, A paraitre. ⟨hal-00268791⟩