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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 dualboundedness and Carleson measure, for $S$ to be an $H^{p}$ interpolatingsequence.

Carleson measures and $H^{p}$ interpolating sequences in the polydisc