报告题目：Atomic decomposition of noncommutative martingales

报 告 人： 吐尔德别克 教授

时   间：2024年6月17日上午10:00—12:00

地   点： bevictor伟德602

报告摘要：Atomic decomposition plays a fundamental role in the classical martingale theory and harmonic analysis. For instance, atomic decomposition is a powerful tool for dealing with duality theorems, interpolation theorems and some fundamental inequalities both in martingale theory and harmonic analysis. Atoms for martingales are usually defined in terms of stopping times. Unfortunately, the concept of stopping times is, up to now, not well-defined in the generic noncommutative setting (there are some works on this topic, for example,see the works of Attal and Coquio). We note, however, that atoms can be defined without help of stopping times. In this talk, we show that the atomic decomposition for the Hardy spaces h1 and H1 is valid for noncommutative martingales. We also present recent results on atomic decomposition.

报告人简介：吐尔德别克，阿斯塔纳信息技术大学教授，博士生导师。主要从事非交换鞅、算子函数论、非交换调和分析等领域的研究。主持多项国家自然科学基金项目，出版专著一本，在Trans. AMS, JFA，Math. Z., J. Operator Theory等著名杂志发表学术论文70余篇。