报告主题：振荡积分与牛顿多面体

报告人：燕敦验 教授 （中国科学院大学）

报告时间：2020年7月17日（周五）15:00-17：00

参会方式：腾讯会议

https://meeting.tencent.com/s/kwTq1fsMwsqy

会议 ID：340 213 014

邀请人：赵发友

主办部门：理学院数学系

报告摘要：In this talk, we will introduce a class of oscillatory integral operators with the kernel being smooth function and compact support. Stein and Phong investigated those operators and obtained the sharp $L^2$ decay estimates. We obtain the sharp $L^p$ decay estimates of the oscillatory integral operators with homogeneous polynomial phases. As a result, we also give the sharp $L^p$-boundedness of the generalized Fourier transform.

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