一、报 一、报告题目：A New Weak Norm with Applications to Geometric Inequalities

二、报告人：孙文昌教授
三、时间：2017年12月15日下午14:30---15:30

四、地点：闻理园A4-305室

五、报告摘要：In this talk, we consider a new weak norm, iterated weak normin Lebesgue spaces with mixed norms.We study properties of the weak norm and the iterated weak normand present the relationship between the two types of weak norms. Even for the ordinary Lebesgue spaces, the two types of weak norms are not equivalent and any one of them can not control the other one.As applications, we also establish some geometric inequalities related to fractional integration in mixed weak spaces and in iterated weak spaces which essentially generalize the Hardy-Littlewood-Sobolev inequality and its reverse version.

附报告人简介:孙文昌，男，南开教授，理学博士，国家杰出青年科学基金获得者，博士生导师。研究方向：调和分析，小波分析与信号处理；任国际著名Journal of Classical Analysis和Sampling Theory in Signal and Image Processing编委；美国Mathematical Review和德国Zentralblatt Math评论员；已在Advances in Mathematics, Journal of Functional Analysis, Applied and Computational Harmonic Analysis, Mathematics of Computation等知名SCI期刊上发表七十多篇论文。

欢迎广大师生参加！

理学院

应用数学研究所

2017年12月11日