2complex symmetric composition operators on $H^2$
Abstract
In this paper, we study 2complex symmetric composition operators with the conjugation $J$ on the Hardy space $H^2$. More precisely, we obtain the necessary and sufficient condition for the composition operator $C_\phi$ to be 2complex symmetric when the symbols $\phi$ is an automorphism of $\mathbb D$. We also characterize the 2complex symmetric composition operator $C_\phi$ on the Hardy space $H^2$ when $\phi$ is a linear fractional selfmap of $\mathbb D$.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.11184
 Bibcode:
 2021arXiv211011184H
 Keywords:

 Mathematics  Complex Variables;
 Mathematics  Functional Analysis
 EPrint:
 13 pages