New examples for multilinear Hörmander multipliers
数学公众报告(120周年校庆系列第75场)
报告题目(Title)：New examples for multilinear Hörmander multipliers
报告人(Speaker)：贺丹青 副教授 (复旦大学)
地点(Place)：腾讯会议ID: 110-859-321
时间(Time)：2023年 3月 3日(周五), 16:00-17:00
邀请人(Inviter)：薛庆营
报告摘要
The study of multilinear multipliers goes back to the work of Coifman and Meyer in 1970s, who extended Mihlin's result to the bilinear setting. The generalization of their work to the Hörmander type became an important topic in last decade. Due to the weak smoothness of Hörmander multipliers, the description of the boundedness of these multipliers is much more delicate. Actually many partial boundedness results were obtained, but the whole picture is still unclear. This encourages us to study related counterexamples to get a better understanding of this theory. In this talk, we survey the development of multilinear Hörmander multipliers, and present some new counterexamples.
主讲人简介
贺丹青，复旦大学副教授。毕业于密苏里大学，师从世界著名调和分析专家L. Grafakos教授。主要研究调和分析中的双线性算子以及相关问题。主要已完成的工作包括弱Hardy空间的平方函数刻画、双线性粗糙核奇异积分算子的有界性、双线性Hörmander乘子的有界性等问题，已在Adv. in Math., Math. Ann. Math. Z.等国际著名期刊发表SCI论文十余篇。
