  Title: On linear extension for interpolating sequences. Author: Eric Amar
  Abstract: Let A be a uniform algebra on the compact space X and $\sigma $ a
probability measure on X. We define the Hardy spaces $H^{p}(\sigma)$ and the
$H^{p}(\sigma)$ interpolating sequences S in the p-spectrum ${\mathcal{M}}_{p}$
of $\sigma $. We prove, under some structural hypotheses on $\sigma $ that
"Carleson type" conditions on S imply that S is interpolating with a linear
extension operator in $\displaystyle H^{s}(\sigma), s<p$ provided that either
$p=\infty $ or $p\leq 2$.
  This gives new results on interpolating sequences for Hardy spaces of the
ball and the polydisc. In particular in the case of the unit ball of
${\mathbb{C}}^{n}$ we get that if there is a sequence $\{\rho_{a}\}_{a\in S}$
bounded in $H^{\infty}({\mathbb{B}})$ such that $\forall a,b\in S, \rho
_{a}(b)=\delta_{ab}$, then S is $H^{p}({\mathbb{B}})$-interpolating with a
linear extension operator for any $1\leq p<\infty $.
