Variational Inequalities for Bilinear Averaging Operators over Convex Bodies
报告题目(Title)：Variational Inequalities for Bilinear Averaging Operators over Convex Bodies
报告人(Speaker)：吴新峰（矿业大学 北京）
地点(Place)：后主楼1223
时间(Time)：2019年12月28日 16:00-17:00
邀请人(Inviter)：薛庆营
报告摘要
We prove q-variation inequality for bilinear averaging operators over convex bodies. As applications, we obtain variational inequalities for bilinear discrete averaging operators, bilinear averaging operators of Demeter-Tao
-Thiele, and ergodic bilinear averaging operators. As a byproduct, we also obtain the same mapping properties for a new class of bilinear square functions involving conditional expectation, which are of independent interest. This is based on a joint work with Prof. Ding and Hong.
