Composition-differentiation operators on the Dirichlet space
Functional Analysis
2022-07-26 v2
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.
Cite
@article{arxiv.2207.09015,
title = {Composition-differentiation operators on the Dirichlet space},
author = {Robert F. Allen and Katherine Heller and Matthew A. Pons},
journal= {arXiv preprint arXiv:2207.09015},
year = {2022}
}