【武汉大学】Composition operators on Hardy spaces of Dirichlet series

报告题目：Composition operators on Hardy spaces of Dirichlet series

报 告 人：王茂发 教授（武汉大学）

报告时间：2024年12月12日（星期四）14：30—15：30

报告地点：线上报告            会议ID：648141076

校内联系人： 朱传喜 教授        联系方式：84708351-8420

报告摘要：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。 主要研究领域为泛函分析及其应用，先后承担国家自然科学基金重点项目、面上项目等多项，在J. Funct. Anal., J. Operator Theory, Math. Z., Indiana Univ. Math. J., Studia Mathematica, Sci. China  Math.等期刊上发表学术论文数十篇。