arXiv Analytics

Sign in

arXiv:1605.02700 [math.FA]AbstractReferencesReviewsResources

Is the Dirichlet Space a Quotient of $DA_n$?

Richard Rochberg

Published 2016-05-09Version 1

We show that the Dirichlet space is not a quotient of the Drury-Arveson space on the n-ball for any finite n. The proof is based a quantitative comparison of the metrics induced by the Hilbert spaces

Comments: 7 pages
Categories: math.FA
Subjects: 46E22
Related articles: Most relevant | Search more
arXiv:1701.07777 [math.FA] (Published 2017-01-26)
Henkin measures for the Drury-Arveson space
arXiv:2410.07773 [math.FA] (Published 2024-10-10)
Potential theory and boundary behavior in the Drury-Arveson space
arXiv:2204.01559 [math.FA] (Published 2022-04-04)
An invitation to the Drury-Arveson space