報(bào)告題目：Quantitative convergence of ergodic averages associated with group actions on a fixed noncommutative L^p space

報(bào) 告 人：劉偉

報(bào)告時(shí)間：2024年4月26日，15：00-17：00

報(bào)告地點(diǎn)：4A305

主辦單位：西華大學(xué)理學(xué)院

報(bào)告人簡介：劉偉，理學(xué)博士，現(xiàn)為西南財(cái)經(jīng)大學(xué)數(shù)學(xué)學(xué)院講師。研究方向?yàn)橄蛄恐岛头墙粨Q分析，遍歷理論?，F(xiàn)已在向量值調(diào)和分析，經(jīng)典和非交換遍歷理論領(lǐng)域上取得了相關(guān)的工作進(jìn)展，部分工作已發(fā)表在 J. Funct. Anal.數(shù)學(xué)期刊上。

內(nèi)容簡介：In this talk, we will introduce our recent works about quantitative convergence of ergodic averages associated with polynomial volume growth group actions on a fixed noncommutative L^p-space. To achieve our goal, we consider the operator-valued square function inequalities for ball averages on a metric space with non-doubling measure. The latter's establishment involves several new ingredients such as the operator-valued Calder\'on-Zygmund theory for non-doubling measure, BMO theory and some delicate geometric arguments. This is a joint work with Guixiang Hong and Bang Xu.