非时齐马氏过程的对数Sobolev不等式  

Log-Sobolev Inequalities for Time Inhomogeneous Markov Processes

作　　者：宋娟 张铭 Juan SONG;Ming ZHANG(School of Information Management and Statistics,Hubei University of Economics,Intelligent Governance Research Center,Wuhan 430205,P.R.China;Department of Science and Technology/School of Information Management for Law,China University of Political Science and Law,Beijing 102249,P.R.China)

机构地区：[1]湖北经济学院信息管理与统计学院智慧治理研究中心,武汉430205 [2]中国政法大学科学技术教学部法治信息管理学院,北京102249

出　　处：《数学学报（中文版）》2023年第4期747-752,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文将时齐马氏过程的经典对数Sobolev不等式推广到非时齐马氏过程,建立了非时齐马氏过程的转移半群与对数Sobolev不等式之间的关系.We generalize the classical log-Sobolev inequality of the time homogeneous Markov process to the inhomogeneous Markov process,and establish the relationship between the transition semigroup of inhomogeneous Markov process and the log-Sobolev inequality.

关 键 词：非时齐马氏过程 泛函不等式 对数SOBOLEV不等式 

分 类 号：O211.62[理学—概率论与数理统计]