报告题目 (Title)：Dunkl集下的奇异积分、小波分解和Hardy空间

报告人 (Speaker)：韩永生 教授（美国奥本大学）

报告时间 (Time)：2023年12月21日 (周四) 9:00-12:00

报告地点 (Place)：校本部Gj303

邀请人(Inviter)：赵发友 教授

主办部门：理学院数学系

报告摘要：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.