# 2-complex symmetric composition operators on $H^2$

@inproceedings{Hu20212complexSC, title={2-complex symmetric composition operators on \$H^2\$}, author={Lian Hu and Songxiao Li and Rongwei Yang}, year={2021} }

In this paper, we study 2-complex symmetric composition operators with the conjugation J on the Hardy space H. More precisely, we obtain the necessary and sufficient condition for the composition operator Cφ to be 2complex symmetric when the symbols φ is an automorphism ofD. We also characterize the 2-complex symmetric composition operator Cφ on the Hardy space H when φ is a linear fractional self-map of D.

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