English

Henkin measures for the Drury-Arveson space

Functional Analysis 2020-09-23 v1 Complex Variables

Abstract

We exhibit Borel probability measures on the unit sphere in Cd\mathbb C^d for d2d \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 Clou\^atre and Davidson.

Cite

@article{arxiv.1701.07777,
  title  = {Henkin measures for the Drury-Arveson space},
  author = {Michael Hartz},
  journal= {arXiv preprint arXiv:1701.07777},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-22T18:01:38.196Z