Essentially Normal Composition Operators on $H^2$
Functional Analysis
2015-04-03 v1
Abstract
We prove a simple criterion for essential normality of composition operators on the Hardy space induced by maps in a reasonably large class of analytic self-maps of the unit disk. By combining this criterion with boundary Carath\'{e}odory-Fej\'{e}r interpolation theory, we exhibit a parametrization for all rational self-maps of the unit disk which induce essentially normal composition operators.
Cite
@article{arxiv.1503.06165,
title = {Essentially Normal Composition Operators on $H^2$},
author = {Mor Katz},
journal= {arXiv preprint arXiv:1503.06165},
year = {2015}
}