Distributional inequalities for noncommutative martingales
报告题目：Distributional inequalities for noncommutative martingales
报告专家：焦勇 教授（中南大学）
报告时间：2022年12月8日（星期四）17:00-18:00
报告地点：腾讯会议：347-390-550，密码：1208
报告摘要：We establish distributional estimates for noncommutative martingales, in the sense of decreasing rearrangements of the spectra of unbounded operators, which generalizes the study of distributions of random variables. Our results include distributional versions of the noncommutative Stein, dual Doob, martingale transform and Burkholder-Gundy inequalities. Our proof relies upon new and powerful extrapolation theorems. As an application, we obtain some new martingale inequalities in symmetric quasi-Banach operator spaces and some interesting endpoint estimates. Our main approach demonstrates a method to build the noncommutative and classical probabilistic inequalities in an entirely operator theoretic way.
专家简介：焦勇, 中南大学教授、博士生导师，数学与统计学院院长，国家杰出青年基金获得者；主要研究方向：非交换分析；主要成果发表在《Advances in Math.》、《Commun. Math. Phys》、《International Math. Research Notices》、《Transactions of American Math. Society》、《Annals of Probability》、《JFA》和《Probability Theory and Related Fields》等国内外重要学术期刊上。目前担任教育部第八届科技委数理学部委员、中国工程概率统计学会理事长和湖南省数学会副理事长。
邀请人：胡泽春
