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arXiv · 1607.04801

Complex symmetric composition operators with automorphic symbols

Yong-Xin Gao·Ze-Hua Zhou
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Abstract

In this paper we show that a composition operator $C_\varphi$ cannot be complex symmetric on Hardy-Hilbert space $H^2(D)$ when $\varphi$ is an elliptic automorphism of order $3$ and not a rotation. This completes the project of finding all invertible composition operators which are complex symmetric $H^2(D)$.

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Yong-Xin Gao, Ze-Hua Zhou. 2016-07-16. Complex symmetric composition operators with automorphic symbols. https://arxiv.org/abs/1607.04801

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