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

Abstract

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 $B_{\alpha }^p({\mathbb{B}}^n).IntheparticularcaseofHardyspace$H^p (\mathbb{B}^2)$,thisconditionissufficientnooptimal.Inthemaintheoremproof,weresolveGleaso{n}^{\prime }sproblem(vectorialform)in$B^p_α(\mathbb{B}^n)$

22 pages