  Let $S$ be a sequence of points in $\Omega ,$ where $\Omega$ is the unit ball
or the unit polydisc in ${\mathbb{C}}^{n}.$ Denote $H^{p}$($\Omega $) the Hardy
space of $\Omega .$ Suppose that $S$ is $H^{p}$ interpolating with $p\geq 2.$
Then $S$ has the bounded linear extension property. The same is true for the
Bergman spaces of the ball by use of the "Subordination Lemma". The point of
view used here is the vectorial one: Hilbertian and Besselian basis.
