This paper identifies a class of complex symmetric weighted composition operators on H 2 (D) that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon and Narayan. A characterization of algebraic weighted composition operators with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional.

中文翻译：

---

Hardy 空间上的复对称加权复合算子

本文在H 2 (D) 上确定了一类复对称加权合成算子，包括酉和厄米加权合成算子，以及一类由Bourdon 和Narayan 确定的正规加权合成算子。提供阶数不超过 2 的代数加权复合算子的特征，以说明复对称加权复合算子的权重函数不一定是线性分数。