Carleson measures and $H^{p}$ interpolating sequences in the polydisc
Functional Analysis
2020-06-16 v2
Abstract
Let be a sequence of points in Suppose that is interpolating. Then we prove that the sequence is Carleson, provided that We also give a sufficient condition, in terms of dual boundedness and Carleson measure, for to be an interpolating sequence.
Cite
@article{arxiv.1911.07038,
title = {Carleson measures and $H^{p}$ interpolating sequences in the polydisc},
author = {Eric Amar},
journal= {arXiv preprint arXiv:1911.07038},
year = {2020}
}
Comments
Due to an terrible mistake I did in the proof of the second main result, thanks to the referee to uncovered it, to get the same result I have to ask for a stronger hypothesis: the measure associated to the sequence must be Carleson and not only square Carleson