Composition-differentiation operators on the Dirichlet space
arXiv:2207.09015 · doi:10.1016/j.jmaa.2022.126186
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.