Henkin measures for the Drury-Arveson space

Abstract

We exhibit Borel probability measures on the unit sphere in ${\mathbb{C}}^d$ for $d\ge 2$ which are Henkin for the multiplier algebra of the Drury-Arveson space, but not Henkin in the classical sense. This provides a negative answer to a conjecture of Clouâtre and Davidson.

12 pages