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Monge-Ampere singular integral operators acting on Hardy spaces and their duals
2018-06-29 00:00:00

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.