报告人：王茂发教授

        武汉大学

报告题目：Complex symmetric weighted composition operators in several variables

报告时间：2018年10月31日上午09:00

报告地点：海韵实验楼108

报告摘要：In this talk, we introduce the complex symmetric  weighted composition operators on the Hilbert space $H_{s}$ of holomorphic functions over the open unit ball $\mathbb{B}_{n}$ with reproducing kernels $K^{s}_{w}=(1-\langle z,w\rangle)^{-s}$, where $s\in\mathbb{N}^{+}$. First,  we completely characterize complex symmetric weighted composition operators with respect to two important conjugations $J_V$, $J_\sigma$, which include Hermitian weighted composition operators and normal weighted composition operators appeared in \cite{[Le]}. Surprisingly, they are essential representatives of general conjugations with the form $C_{\psi,\varphi}J$, where $C_{\psi,\varphi}$ is unitary and $J$-symmetric. Indeed, this kind complex symmetric weighted composition operators are classified into two classes. The size estimates and some other properties of this kind complex symmetric weighted composition operators are obtained. Finally, involutive weighted composition operators on $H_{s}(s>0)$ are completely characterized too. As an application, we construct conjugations for the involutive composition operators.

报告人简介：王茂发，男，武汉大学数学与统计学院教授，博士生导师。主要研究方向是泛函分析及其应用，特别是函数空间上的算子理论，取得了丰硕的成果。先后多次承担863项目、国家基金委重点、面上和教育部等项目，已在J Funct Anal、J Math AnalAppl、Math Z、Indiana Uni J Math、J Operator Theory等国际著名期刊上发表学术论文40余篇。

联系人：张文教授

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