# $\mathcal{H}^p$-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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