中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

报告人：窦井波 教授（陕西师范大学）

题  目：Sharp Hardy-Littlewood-Sobolev inequalities and related inequalities

时  间：2022.09.29（星期四）上午09:00-10:00

地  点：腾讯视频：948-3602-5762

摘  要：In this talk, I will summarize some sharp Hardy-Littlewood- Sobolev(HLS) inequalities, reversed HLS inequalities and logarithmic HLS inequality on whole space and on the upper half space respectively, which includes our past decade work. As applications, we also present sharp Carleman inequality on the unit disk and weighted Sobolev inequalities on the upper half space, which are closely related to HLS inequality. These are mainly joint works with Meijun Zhu.