The Diameter Space, A Restriction of the Drury-Arveson-Hardy Space

Abstract

We consider Carleson measures, Hankel matrices, and interpolation of values on certain reproducing kernel Hilbert spaces which we call the diameter spaces. We begin by reviewing results for the classical Hardy space which we denote DAH1 and its associated diameter space. Our n−dimensional analog of the Hardy space is the Drury-Arveson-Hardy space, DAHn, a… (More)

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