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2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

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Abstract

In the paper, 2-complex symmetric weighted composition operators induced by three type symbols on the weighted Bergman spaces of the right half-plane with three conjugations \(Jf(z)=\overline{f(\bar{z})}\), \(J_sf(z)=\overline{f(\bar{z}+is)}\) and \(J_*f(z)=\frac{1}{z^{\alpha +2}}\overline{f(\frac{1}{\bar{z}})}\) are characterized by building the relations between some parameters. Some examples of such operators are also given.

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Acknowledgements

This study was supported by Sichuan Science and Technology Program (2022ZYD0010).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, 643000, Sichuan, People’s Republic of China

    Yan-Fu Xue, Zhi-Jie Jiang & Cheng-Shi Huang

  2. South Sichuan Center for Applied Mathematics, Sichuan University of Science and Engineering, Zigong, 643000, Sichuan, People’s Republic of China

    Zhi-Jie Jiang

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  1. Yan-Fu Xue
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  2. Zhi-Jie Jiang
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  3. Cheng-Shi Huang
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Contributions

Zhi-jie Jiang wrote the main manuscript text, Yan-fu Xue wrote the partial manuscript text and Cheng-shi Huang revised the manuscript. All authors reviewed the manuscript.

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Correspondence to Zhi-Jie Jiang.

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Communicated by Aurelian Gheondea

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Xue, YF., Jiang, ZJ. & Huang, CS. 2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane. Complex Anal. Oper. Theory 17, 119 (2023). https://doi.org/10.1007/s11785-023-01418-9

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