学术报告(谭超强 2024.5.13)
Maximal operator, Cotlar's inequality and pointwise convergence for singular integral operators in Dunkl Setting
发布人:姚璐
发布日期:2024-05-13
主题
Maximal operator, Cotlar's inequality and pointwise convergence for singular integral operators in Dunkl Setting
活动时间
-
活动地址
新数学楼416
主讲人
谭超强 副教授(汕头大学)
主持人
颜立新
摘要: In this talk, we present the maximal operator, Cotlar's inequality, and pointwise convergence for non-convolution type Dunkl–Calderón–Zygmund operators in the Dunkl setting.The geometry involves distinct Euclidean metric and the Dunkl metric deduced by finite reflection groups, necessitating novel methods such as truncated singular integrals. We demonstrate their control by the Hardy–Littlewood maximal function, ensuring operator boundedness and establishing two equivalent pointwise convergence results.