院士论坛及杰出学者讲坛|
发表时间:2018-09-25 阅读次数:290次
报告题目: 杰出学者讲坛(二十五):Sharp local smoothing estimates for Fourier integral operators
报 告 人:Prof. Christopher Sogge
报告人所在单位:The Johns Hopkins University
报告日期:2018-09-25 星期二
报告时间:14:00-15:00
报告地点:光华东主楼1704
  
报告摘要:

We present joint work with D. Beltran and J. Hickman on sharp local smoothing estimates for general Fourier integral operators.  Local smoothing bounds imply major estimates in harmonic analysis, including Bochner-Riesz estimates, oscillatory integral estimates and bounds for the size of Besicovitch sets and related problems involving Kakeya maximal functions.  Our work gives a sharp resolution to the most general form of the local smoothing problem formulated by the speaker in the early 1990s.  We rely on decoupling estimates of Bourgain and Demeter.

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本年度学院报告总序号:18

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