Pullback operators on Bargmann spaces
Complex Variables
2024-07-30 v2 Functional Analysis
Abstract
We characterize boundedness and compactness of pullback operators under holomorphic maps between Bargmann spaces of entire holomorphic functions with quadratic strictly plurisubharmonic exponential weights, extending a result of Carswell-MacCluer-Schuster obtained in the case of the radial quadratic weight. We also show that the pullback operator between Bargmann spaces is compact precisely when it is of trace class, with sub-exponentially decaying singular values.
Cite
@article{arxiv.2403.13227,
title = {Pullback operators on Bargmann spaces},
author = {Reid Johnson},
journal= {arXiv preprint arXiv:2403.13227},
year = {2024}
}
Comments
To appear in Proceedings of the American Mathematical Society. The latest version now includes an example on page 4, and reflects several other minor revisions in presentation