Carleson measures and $H^{p}$ interpolating sequences in the polydisc
Language
en
Document de travail - Pré-publication
English Abstract
Let $S$ be a sequence of points in ${\mathbb{D}}^{n}.$ Suppose that $S$ is $H^{p}$ interpolating. Then we prove that the sequence $S$ is Carleson, provided that $p>2.$ We also give a sufficient condition, in terms of dual ...Read more >
Let $S$ be a sequence of points in ${\mathbb{D}}^{n}.$ Suppose that $S$ is $H^{p}$ interpolating. Then we prove that the sequence $S$ is Carleson, provided that $p>2.$ We also give a sufficient condition, in terms of dual boundedness and square Carleson measure, for $S$ to be an $H^{p}$ interpolating sequence.Read less <
Origin
Hal imported