Riesz transform and commutators in the Dunkl setting
- A+
：李冀
：2021-07-09 15:00
： Zoom APP ID:6361440113（Pwd:12345）
报告人：李冀（澳大利亚麦考瑞大学）
时 间：7月9日下午15:00
地 点： Zoom APP ID:6361440113（Pwd:12345）
内容摘要:
In this talk we will first recall some background of the Dunkl transform and related results. Next we introduce our recent progress on characterising the pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric and the Dunkl metric, where the two metrics are not equivalent. We will further talk about characterisation of boundedness of commutator of the Dunkl Riesz transform via the BMO space associated with the Euclidean metric and the Dunkl measure. In the end we will discuss some potential topics along this line.
个人简介：
李冀副教授的研究方向为调和分析, 主要研究多参数的调和分析, 度量空间上的函数空间以及与算子相关的函数空间及其应用. 目前共发表学术论文70多篇，其研究工作先后发表在Memoirs AMS, Adv Math., Appl. Comput. Harmon. Anal., Math. Ann. Trans. Amer. Math. Soc., Anal. & PDE, J. Math. Pures Appl.和 J. Funct. Anal.等国际著名数学杂志上。
联系人：杨东勇
