【校级学术报告】John-Nirenberg inequalities for noncommutative martingale BMO spaces

Guixiang Hong 洪桂祥  (Harbin Institute of Technology)

10:00-11:00, October 17, 2023   Science Building A505 & Tencent Meeting 438729039

Abstract:

Recently, we have made some progresses on John-Nirenberg theorems for BMO/Lipschitz spaces in the noncommutative martingale setting. In particular, we solved two open questions originated from the seminal noncommutative martingale papers due to Gilles Pisier, Quanhua Xu and Marius Junge. In this talk, I shall overview briefly noncommutative martingale theory and then present our results. Based on joint works with Tao Mei, Congbian Ma, Yu Wang.

About the speaker:

洪桂祥，哈尔滨工业大学教授，博士生导师，2016年入选国家高层次青年人才项目，2023年获批国家杰出青年基金。研究方向为(经典、向量值、非交换)调和分析，量子概率论，非交换遍历理论，泛函分析及其在量子信息论与非交换几何中的应用。现已在非交换鞅论，非交换遍历论及非交换调和分析等领域上取得突破性进展，解决了若干公开问题；部分工作已发表在Memoirs AMS, Duke Math. J, Math. Annalen, Comm. Math. Phy., Adv. Math., J. Funct. Anal., IMRN和Analysis & PDE等数学期刊上。

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