A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of $\mathbb{C}^{n}$

Abstract

In this work we prove that if $S$ is a dual bounded sequence of points in the unit ball ${\mathbb{B}}$ of ${\mathbb{C}}^{n}$ for the Hardy space $H^{p}({\mathbb{B}})$, then $S$ is $H^{s}({\mathbb{B}})$ interpolating with the linear extension property for any $s\in [1,p[$.