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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。