Weighted inequality of fractional integrals on product spaces
数学专题报告
报告题目(Title)：Weighted inequality of fractional integrals on product spaces
报告人(Speaker)：王子鹏（西湖大学）
地点(Place)：后主楼1124
时间(Time)：6月13日(周四)，16:00-17:00
邀请人(Inviter)：杨大春
报告摘要
In this talk, we first briefly review some classical results for weighted inequalities of fractional integrals.
Next, we introduce a family of multi-parameter fractional integrals whose kernels have singularity on every coordinate subspace. By considering the weight functions as appropriate powers, we give a characterization between the norm inequality and its associated Muckenhoupt characteristic. As a result, we extend the Stein-Weiss theorem on product spaces. Furthermore, we will discuss some more recent works in this direction and a question remained open.
主讲人简介
王子鹏，西湖大学理论科学研究院助理教授。2015年于剑桥大学获得数学博士学位。
自2012年7月起，同时在普林斯顿大学开始博士课题研究，师从Elias M. Stein，并在其指导下完成博士论文
