学术报告(贺丹青 5.8)
A sharp result of multilinear multiparameter Hormander multipliers
发布人:杨晓静
发布日期:2023-04-27
主题
A sharp result of multilinear multiparameter Hormander multipliers
活动时间
-
活动地址
新数学楼416室
主讲人
贺丹青 副教授( 复旦大学)
主持人
宋亮
摘要:
In 1970s Coifman and Meyer proved the famous Coifman-Meyer theorem, which generalized Mihnlin's multiplier theorem to the multilinear setting. The study of multilinear H\"ormander multipliers, a natural generalization of Coifman-Meyer multipliers, became an important topic in multilinear harmonic analysis in recent years. In this talk, we will survey the development of multilinear H\"ormander multipliers, and discuss a sharp multiparameter generalization. More precisely, we will present a result concerning the boundedness of multilinear multiparameter H\"ormander multipliers, and give counterexamples indicating its sharpness. This is joint work with Chen, Lu, Park, and Zhang.