报告题目：《Sharp Hardy-Littlewood-Sobolev inequalities and related inequalities》

报告人：窦井波(陕西师范大学)

报告时间：2023年12月13日下午10:00—12:00

报告地点：腾讯会（409516361）

报告摘要: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.

报告人简介：窦井波，教授，博士生导师。现为陕西师范大学数学与统计学院教授。研究方向是偏微分方程理论及其应用。近年来与多位合作者集中研究最优几何不等式及其椭圆方程解的存在性等问题。在Adv. Math.，J. Func. Anal.，Inter. Math. Res. Notices, J. Diff. Equ.等国际学术期刊上发表学术论文40余篇；主持国家自然科学基金3项，2019 年获陕西省杰出青年科学基金项目，2022年获陕西高校青年创新团队项目。