主  讲  人：韩永生 教授（Auburn University,USA）
时间地点：12月14日，21日14:00-16:00，北一文科楼 508室
 
　　      12月16日，23日14:00-16:00，校本部教四314室

　　      12月18日，25日14:00-16:00，北一文科楼707室

主 办 单 位：必赢76net线路官网数学科学学院
内 容 介 绍：Harmonic analysis methods have become of very powerful tools in the study of partial differential equations. Indeed, the classical theory of the first generation of Calder′ on-Zygmund operators played crucial roles in the study of elliptic and parabolic partial differential equations. Moreover, it was well known that the source of the theory of pseudo-differential operators is the second generation of Calderón-Zygmund operators. In particular, since the 1980s, the third generation of Calder′ on-Zygmund operators was established and provided key tools for solving many long standing open problems in partial differential equations.

　　The purpose of this series talks is to devoted to the presentation of a few basic harmonic analysis techniques which were often used in the study of partial differential equations. The main content of these talks is the following:

　　Chapter I：Calder’on-Zygmund singular integral operators

　　§1.1： Calder’on-Zygmund convolution operators;

    §1.2：Riesz potentials

　　§1.3：Commutators;                               

    §1.4：Paraproduct operators

　　Chapter II：Littlewood-Paley theory and function spaces

　　§2.1： BMO space;    

       §2.2 ：Besov space