论文标题
综合$γ$ 2标准及其弱形式的旅程
A journey with the integrated $γ$2 criterion and its weak forms
论文作者
论文摘要
如标题所示，本文将描述M. Ledoux引入的$γ$ 2 $γ$ 2集成标准的几个扩展和应用。我们介绍了一般弱版本，并表明它们等同于M. R {Ö} Ckner和F. Y. Wang引入的弱Poincar {é}不平等。我们还讨论了适用于对数符号措施的研究和对数符合产品测量措施的对数凸线的扰动的特殊弱版本。
As the title indicates this paper will describe several extensions and applications of the $Γ$2 integrated criterion introduced by M. Ledoux following ideas of B. Hellffer. We introduce general weak versions and show that they are equivalent to the weak Poincar{é} inequalities introduced by M. R{ö}ckner and F. Y. Wang. We also discuss special weak versions appropriate to the study of log-concave measures and log-concave perturbations of product measures.
