汇报标题 (Title)：奇怪积分与几何
汇报人 (Speaker)：韩永生 教授（美国奥本大学）
汇报功夫 (Time)：2023年12月22日 (周五) 13:00-16:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：赵发友 教授
主办部门：理学院数学系
汇报提要：In this talk, our focus will be on singular integral and the geometry that describe the singularities of the kernels of these operators, and which controls the releveant estimates that are made. The kind of geometry that arises is local in nature and is based on a distance = d(x, y). This metric controls what happens when y is near x. However, the exact size of d(x, y) is not crucial but what matters is the order of magnitude of d as y → x. We will describe how distants deduce the singular integrals in the Euclidean space; spaces of homogeneous type in the sense of Coifman and Weiss, and the Dunkl setting which is associated with finite reflection groups on the Euclidean space.
