The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in ${\mathbb{C}}^n$

Serban Costea, Eric T. Sawyer, Brett D. Wick

We prove that the multiplier algebra of the Drury-Arveson Hardy space $H_n^2$ on the unit ball in ${\mathbb{C}}^n$ has no corona in its maximal ideal space, thus generalizing t…