Interpolating sequences in the ball of \( \mathbb C ^{n}\)
Let \(S\) be a sequence of points in \(B\) (the unit ball in \(\mathbb C^n)\). The author gives a necessary condition on \(S\) to be \(H^\infty(B)\) interpolating in terms of a \(\mathbb C^n\) valued holomorphic function that vanishes on \(S\) (a substitute for the interpolating Blaschke product). Further, he shows that these conditions are sufficient for \(S\) to be interpolating for \(\bigcap_{p>1}H^p(B)\) as well as for \(H^p(B), 1 \leq p <\infty \).
scientific article; zbMATH DE number 2057372
scientific article