活動地點:騰訊會議
活動時間:2020-07-17 15:00:00
報告主題:振蕩積分與牛頓多面體
報告人:燕敦驗 教授 (中國科學院大學)
報告時間:2020年7月17日(周五)15:00-17:00
參會方式:騰訊會議
https://meeting.tencent.com/s/kwTq1fsMwsqy
會議 ID:340 213 014
邀請人:趙發友
主辦部門:理學院數學系
報告摘要: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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