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Composition-differentiation operators on the Dirichlet space
Published 19 Jul 2022 in math.FA | (2207.09015v2)
Abstract: We investigate composition-differentiation operators acting on the Dirichlet space of the unit disk. Specifically, we determine characterizations for bounded, compact, and Hilbert-Schmidt composition-differentiation operators. In addition, for particular classes of inducing maps, we derive an adjoint formula, compute the norm, and identify the spectrum.
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