Monge-Ampere singular integral operators acting on Hardy spaces and their duals
发布时间：2018-06-29 点击次数：
| 报告题目： | Monge-Ampere singular integral operators acting on Hardy spaces and their duals |
| 报 告 人： | 林钦诚 教授（台湾中央大学） |
| 报告时间： | 2018年06月29日 16:00--17:00 |
| 报告地点： | 理学院东北楼一楼报告厅（110） |
| 报告摘要： | We study the Hardy spaces $H^p_{Cal F}$ associated with a family $Cal F$ of sections which is closely related to the Monge-Amp`ere equation. We characterize the dual spaces of $H^p_{Cal F}$, which can be realized as Carleson measure spaces, Campanato spaces, and Lipschitz spaces. Then we prove that Monge-Amp`ere singular operators are bounded on both $H^p_{Cal F}$ and their dual spaces. |