Dyadic Analysis and The Multilinear Theory
数学专题报告
报告题目(Title)：Dyadic Analysis and The Multilinear Theory
报告人(Speaker)：曹明明 (西班牙国家科学院 数学科学研究所，研究员)
地点(Place)：后主楼1124
时间(Time)：2023年7月2日(周日), 15:00-16:00
邀请人(Inviter)： 杨大春
报告摘要
In recent years, dyadic analysis has attracted a lot of attention due to the $A_2$ conjecture. It has been well understood that in the Euclidean setting, Calder\'{o}n-Zygmund operators can be pointwise controlled by a finite number of dyadic operators with a very simple structure, which leads to some significant weak and strong type inequalities. Similar results hold for Hardy-Littlewood maximal operators and Littlewood-Paley square operators. These owe to good dyadic structure of Euclidean spaces. Therefore, it is natural to wonder whether we could work in general measure spaces and find a universal framework to include these operators. In this talk, we develop a comprehensive weighted theory for a class of Banach-valued multilinear bounded oscillation operators on measure space.
