一、报告题目：Fourier Integral Operators on Hardy Spaces

二、报告人：阮建苗 教授

三、时  间：2026年4月29日（周三）17:00—18:00

四、地  点：A4-305

报告摘要：Fourier integral operators (FIOs) generalize pseudo-differential operators and arise naturally in wave equations and microlocal analysis. The classical Seeger–Sogge–Stein theorem establishes H1 to L1 boundedness for FIOs but requires spatial smoothness in both symbol and phase.

In this talk, we present some recent advances about FIOs on Hardy spaces that completely remove all spatial regularity assumptions. Under the rough Hörmander class and rough phase class with only a rough non-degeneracy condition, we prove that FIO is bounded from the local Hardy space hp to Lp for n/(n+1) < p ≤ 1. If the symbol has compact spatial support, the result extends to all 0 < p ≤ 1.

报告人简介：阮建苗，博士，教授，浙江外国语学院研究院院长、研工部部长。浙江省高校中青年学科带头人、浙江省高校教坛新秀。主要从事调和分析及其应用、数学教育等方面的教学和研究工作。主持和参与国家自然科学基金项目、省部级教学科研项目十余项，发表SCI学术论文30余篇等。

欢迎大家参加！联系人：数学与交叉科学研究院 房启全