2024年第5期第43讲：王茂发教授学术报告

广州数学大讲坛第五期

第四十三讲——武汉大学王茂发教授学术报告

题目：Composition operators on Hardy spaces of Dirichlet series

时间：2024年7月8日（星期一）下午15:00-16:00

地点：理学实验楼314

报告人：王茂发教授

摘要：In this talk, we completely characterize the boundedness of composition operators with zero characteristic acting on the Hardy spaces of Dirichlet series $\mathscr{H}^p$ $(p>2)$, which resolves an open problem since the bounded composition operators on the Hilbert space of Dirichlet series were described by Gordon and Hedenmalm in 1999. Our strategy is completely different from what has been known so far. The characterization of compact composition operators generated by Dirichlet series symbols on $\mathscr{H}^p$ $(p\geq2)$ is also obtained.

报告人简介：

王茂发，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。先后承担国家自然科学基金重点项目、面上项目等多项，已在Sci. China Math.、J. Funct. Anal.、Math. Z.、Indiana Univ. Math. J.、J Operator Theory等期刊上发表学术论文数十篇。