Weighted superposition operators on Fock spaces
Functional Analysis
2025-06-23 v1
Abstract
We characterize all pairs of entire functions for which the induced weighted superposition operator transforms one Fock space into another Fock space.Further analytical structures like boundedness and Lipschitz continuity of are described. We, in particular, show the Fock spaces support no compact weighted superposition operator.
Cite
@article{arxiv.2506.16152,
title = {Weighted superposition operators on Fock spaces},
author = {Tesfa Mengestie},
journal= {arXiv preprint arXiv:2506.16152},
year = {2025}
}