Integration operators on spaces of Dirichlet series

摘要:In this talk, we first study the Volterra operator $V$ acting on spaces of Dirichlet series. We prove that $V$ is bounded on the Hardy space $\h^p_0$ for any $0<p\leq\infty$, and is compact on $\h^p_0$ for $1<p\leq\infty$. Some dynamic properties of $V$ acting on $\h^p_0$ are also given. We then study the Volterra type integration operators $T_g$. We prove that if $T_g$ is bounded on the Hardy space $\h^p$, then it is bounded on the Bergman space $\h^p_w$. As applications, we characterize the boundedness of $T_g$ acting on $\h^p_w$ in the case that $g$ is a linear symbol or a multiplicative symbol.


个人简介:武汉大学数学与统计学院教授,博士生导师。主要研究方向是函数空间上的算子理论。主持国家自然科学基金项目多项,在J. Funct. Anal.、J. Operator Theory,Math. Z.等知名期刊上发表学术论文数十篇。  

会议时间:2022/5/12  09:05-10:05

会议号: 482 628 913


网页发布时间: 2022-05-11