• Corpus ID: 235313966

# $\mathcal{H}^p$-corona problem and convex domains of finite type

@inproceedings{Alexandre2021mathcalHpcoronaPA,
title={\$\mathcal\{H\}^p\$-corona problem and convex domains of finite type},
author={Willliam Alexandre},
year={2021}
}
The H∞-Corona Problem is solved by Carleson in [11] when D is the unit disc of C but is still an open question when n ≥ 2, even if D is the ball or the polydisc. On the other side, Sibony in [27] and Fornæss and Sibony in [14] construct bounded pseudoconvex domains with smooth boundary and data f1, . . . , fk, such that the Corona Problem has no solution. It is an interesting question to know for which domains in Cn the Corona Problem may have a solution. As pointed out by Amar in [3], being…

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