报告题目 (Title):Area operators on Hardy spaces of Dirichlet series.
中文标题:哈代空间上狄利克雷级数的面积算子
报告人 (Speaker):王茂发 教授(武汉大学)
报告时间 (Time):2025年4月1日(周二) 10:00
报告地点 (Place):校本部GJ303
邀请人(Inviter):席东盟、李晋、吴加勇
主办部门:太阳集团tyc539数学系
报告摘要:In this talk, we introduce area operators $\mathbb {A}_{μ,l} \C_0$, then for 0<p<∞, the area operator $\mathbb{A}_{μ,l}$ is bounded from the Hardy space $\mathscr{H}^p_0$ of Dirichlet series vanishing at +∞ to some $L^p$-space. Moreover, if μ is a Carleson measure for the conformally invariant Hardy space $H^p_{i}(C_0)$, then $\mathbb{A}_{μ,l}$ is bounded on the Hardy space $\mathscr{H}^p$ of Dirichlet series. We also show an application of our method to Volterra operators.