报告题目 (Title)：关于有限指标的量化加权外插及其应用

报告人 (Speaker)：司增艳 教授（河南理工大学）

报告时间 (Time)：2022年10月2日（周日）13:00-14:00

报告地点 (Place)：线上腾讯会议（会议 ID：713-461-936）

邀请人(Inviter)：赵发友

主办部门：理学院 数学系

报告摘要：In this talk we develop Rubio de Francia extrapolation with quantitative bounds to investigate quantitative weighted inequalities for operators beyond the (multilinear) Calder\'{o}n-Zygmund theory. We mainly establish a quantitative multilinear limited range extrapolation, which refines a result of Cruz-Uribe and Martell. We also present an extrapolation from multilinear operators to the corresponding commutators. Additionally, our result is quantitative and allows us to extend special quantitative estimates in the Banach space setting to the quasi-Banach space setting.