  Let $A$ be a sequence of points of $\mathbb{B}^n$ the unit ball in
$\mathbb{C}^n.$ In terms of interpolating vectorial function (or Amar's
function)[1], we give a necessary condition on $A$ to be interpolating for the
weighted Bergman space $B^p_\alpha (\mathbb{B}^n). In the particular case of
Hardy space $H^p (\mathbb{B}^2)$, this condition is sufficient no optimal. In
the main theorem proof, we resolve Gleason's problem (vectorial form) in
$B^p_\alpha (\mathbb{B}^n)$

Complex Variables