Topological structures of generalized Volterra-type integral operators
Functional Analysis
2018-02-26 v1 Complex Variables
Abstract
We study the generalized Volterra-type integral and composition operators acting on the classical Fock spaces. We first characterize various properties of the operators in terms of growth and integrability conditions which are simpler to apply than those already known Berezin type characterizations. Then, we apply these conditions to study the compact and Schatten class difference topological structures of the space of the operators. In particular, we proved that the difference of two Volterra-type integral operators is compact if and only if both are compact.
Keywords
Cite
@article{arxiv.1802.08414,
title = {Topological structures of generalized Volterra-type integral operators},
author = {Tesfa Mengestie and Mafuz Worku},
journal= {arXiv preprint arXiv:1802.08414},
year = {2018}
}