Is the Dirichlet Space a Quotient of $DA_n$?
Functional Analysis
2016-05-10 v1
Abstract
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
Keywords
Cite
@article{arxiv.1605.02700,
title = {Is the Dirichlet Space a Quotient of $DA_n$?},
author = {Richard Rochberg},
journal= {arXiv preprint arXiv:1605.02700},
year = {2016}
}
Comments
7 pages