The sharp matrix-weighted Doob inequalites
报告专家：焦勇（中南大学）
报告时间：2024年7月25日（星期四）下午16：40-17：40
报告地点：数学学院西303报告厅
报告摘要：The purpose of this paper is to introduce the martingale Ap condition for matrix weights and establish matrix-weighted Doob maximal inequalities for vectorvalued (more precisely, Cd-valued, where d denotes the dimension) martingales. The proof mainly relies on the idea of principal sets and new sparse dominations. Our approach is powerful enough to obtain the optimal dependence of the constant on the characteristic of the weight involved. Furthermore, it appears that this method has a wide range of applications beyond matrix-weighted Doob inequalities. This is a joint work with Wei Chen, Lian Wu and Xingyan Quan.
专家简介：焦勇，中南大学数学与统计学院教授、博士生导师，中南大学发展规划与学科建设处处长，2021年获国家杰出青年基金；主要研究方向为非交换分析；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：连增 胡泽春
