Robert F. Allen, Katherine Heller, Matthew A. Pons
Published 2022-07-19Version 1
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.
Journal: J. Math. Anal. Appl. 512 (2022), no. 2, Paper No. 126186, 18 pp
Essentially Normal Composition Operators on $H^2$
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Hilbert-Schmidt composition-differentiation operators on the unit ball
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