From the Littlewood-Paley-Stein inequality to the Burkholder-Gundy inequality
主 讲 人 :徐振东 博士
活动时间:01月22日10时00分
地 点 :理科群1号楼D203室
讲座内容:
We solve a question asked by Xu about the order of optimal constants in the Littlewood-Paley-Stein inequality. The argument relies on a construction of a special diffusion semi-group associated to a martingale which relates the Littlewood-Paley g-function with the matingale square function pointwisely. This can also be done in the vector valued and noncommutative cases.
主讲人介绍:
徐振东,法国弗朗什-孔泰大学博士。研究方向为泛函分析、调和分析及非交换分析。在Trans. Am. Math. Soc.、J. Funct. Anal.等国际期刊发表论文多篇。