汇报标题 (Title)：Dunkl集下的奇怪积分、幼波分化和Hardy空间
汇报人 (Speaker)：韩永生 教授（美国奥本大学）
汇报功夫 (Time)：2023年12月21日 (周四) 9:00-12:00
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, we first introduce a new class of singular integral operators in the Dunkl setting which is associated with finite reflection groups on the Euclidean space. The group structures induce two nonequivalent metrics: the Euclidean metric and the Dunkl metric, which both are involved in the estimates of singular integrals, the heat and Poisson kernels. Applying this new singular integrals, namely the T1 theorem, the criterion of the L2 boundedness in Dunkl setting, the wevelet-type decomposition is established and the Littlewood-Paley theory is developed. Finally, the Hardy space theory in the Dunkl setting is provided.
