Henkin measures for the Drury-Arveson space

preprint2017arXivOpen access

Abstract

We exhibit Borel probability measures on the unit sphere in Cd\mathbb C^d for d≥2d \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.

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