数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2003年
5期
513-528
,共16页
泛函不等式%本征谱%马氏半群%运费不等式
汎函不等式%本徵譜%馬氏半群%運費不等式
범함불등식%본정보%마씨반군%운비불등식
functional inequality%essential spectrum%Markov semigroup%transportation cost inequality
本文介绍有关泛函不等式及谱理论与马氏过程研究的若干新进展,我们首先简要回顾了两个著名不等式,即Poincaré不等式与对数不等式,然后分别使用泛函不等式研究本征谱、马氏半群的收敛速度和运费不等式.
本文介紹有關汎函不等式及譜理論與馬氏過程研究的若榦新進展,我們首先簡要迴顧瞭兩箇著名不等式,即Poincaré不等式與對數不等式,然後分彆使用汎函不等式研究本徵譜、馬氏半群的收斂速度和運費不等式.
본문개소유관범함불등식급보이론여마씨과정연구적약간신진전,아문수선간요회고료량개저명불등식,즉Poincaré불등식여대수불등식,연후분별사용범함불등식연구본정보、마씨반군적수렴속도화운비불등식.
This paper surveys some new progress concerning functional inequalitiesand applications to the study of Markov processes and spectral theory. We first briefly recallwe introduce functional inequalities to study the essential spectrum, the decay of Markovsemigroups, and the transportation cost inequalities.
