报告问题 (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

报告所在 (Place)：线上腾讯聚会（聚会 ID：713-461-936）

约请人(Inviter)：赵发友

主理部分：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.