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Is the Dirichlet Space a Quotient of $DA_n$?

Published 9 May 2016 in math.FA | (1605.02700v1)

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

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