Boundedness and compactness of operators on the Fock space
Functional Analysis
2012-11-30 v1 Complex Variables
Abstract
We obtain sufficient conditions for a densely defined operator on the Fock space to be bounded or compact. Under the boundedness condition we then characterize the compactness of the operator in terms of its Berezin transform.
Cite
@article{arxiv.1211.7030,
title = {Boundedness and compactness of operators on the Fock space},
author = {Xiaofeng Wang and Guangfu Cao and Kehe Zhu},
journal= {arXiv preprint arXiv:1211.7030},
year = {2012}
}