Hilbert-Schmidt composition-differentiation operators on the unit ball
Functional Analysis
2023-08-30 v1
Abstract
We use the notion of radial derivative to introduce composition-differentiation operators on the Hardy and Bergman spaces of the unit ball and the polydisk. We seek for necessary and sufficient conditions on the inducing functions to ensure that the composition-differentiation operator is Hilbert-Schmidt.
Cite
@article{arxiv.2308.15045,
title = {Hilbert-Schmidt composition-differentiation operators on the unit ball},
author = {Ali Abkar},
journal= {arXiv preprint arXiv:2308.15045},
year = {2023}
}
Comments
13 pages