Sur Les Suites D'Interpolation Pour Les Espaces De Bergman a Poids Dans la Boule De ${\mathbb{C}}^n$}

Let $A$ be a sequence of points of ${\mathbb{B}}^n$ the unit ball in ${\mathbb{C}}^n\mathrm{.}$ 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 $B_{\alpha }^p({\mathbb{B}}^n)$