Is the Dirichlet Space a Quotient of DA_n?
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🧮 math.FA
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spacedirichletquotientcomparisondrury-arvesonfinitehilbertinduced
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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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