报告题目：Some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principles 

报告人：麦伟雄 澳门科技大学

报告时间：2024.11.4下午14：30

报告地点：数学与信息学院数学系715

摘要In this talk we introduce some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on ℝn, which is a further study of the results given in [JFA. 265(2013), no. 10, 2239-2266]. Moreover, we also give the analogous results for complex- and vector-valued functions defined on 𝕊n,n≥2. This talk is based on the joint work with Pei Dang.

报告人简介：麦伟雄，本科毕业于中山大学，博士毕业于澳门大学，现在澳门科技大学任助理教授，研究方向主要包括复分析和调和分析及其在信号处理中的应用，近年来也关注流形上的函数论。现已发表 20 篇 SCI 论文，其中部分文章发表在 Advances in Mathematics, Applied and Computational Harmonic Analysis, Journal of Geometric Analysis, Proceedings of the American Mathematics Society, Journal of Mathematical Analysis and Applications 等国际期刊中。