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陈泽乾——Atomic decomposition for noncommutative martingales
发布人:许全华  发布时间:2020-07-16   浏览次数:27

题目:Atomic decomposition for noncommutative martingales


报告人:陈泽乾(中国科学院精密测量科学与技术创新研究院


时间:724日,16:00-17:00


地点:腾讯会议,会议ID:397 718 094


摘要:In this talk, we will report that an atomic type decomposition is proved for the noncommutative  martingale Hardy space $\h_p$ for all $0<p<2$ by an explicit constructive method using algebraic atoms as building blocks. Using this elementary construction, we obtain a weaker form of the atomic decomposition of $\h_p$ for all $0< p < 1,$ and provide a constructive proof of the atomic decomposition for $1 \le p < 2.$ As application, we obtain a characterization of the dual space of  the noncommutative martingale Hardy space $\h_p$ ($0<p<1$) as noncommutative Lipschitz space via the weaker form of the atomic decomposition. Our constructive method can also be applied to giving some sharp martingale inequalities. This is joint work with Narcisse Randrianantoanina and Quanhua Xu (许全华).