Singular integral, wevelet-type decomposion, littlewood-paley and hardy space in Dunkl setting
2023-03-30 09:15:00
2023-03-30 09:15:00
2023-03-30 09:15:00
Speaker : 9:15AM, Han Yongsheng
Time : 2023-03-30 09:15:00
Location :
Title: Singular integral, wevelet-type decomposion, littlewood-paley and hardy space in Dunkl setting
Speaker: Han Yongsheng(Auburn University)
Time: 2023-03-30，9:15-10:05
Location: 205, Building 2, Hainayuan, School of Mathematical Sciences, Zijingang Camupus
Abstract: In this talk, we introduce a new class of singular integral operators in the Dunkl setting which is associated with reection 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 decomposion is established and the Littlewood-Paley theory is developed. Finally, the Hardy space theory in the Dunkl setting is provided.
Contact Person: Wang Meng (mathdreamcn@zju.edu.cn)