论文标题
关于高斯空间中Moser类型不平等的极端情况
On the existence of extremals for Moser type inequalities in Gauss space
论文作者
论文摘要
在高斯空间中建立了指数sobolev型不等式中的极端不等式中的极值。证明的关键步骤是相关不平等的增强版本，相比之下，欧几里得空间中Moser的平行经典不平等现象失败了。
The existence of an extremal in an exponential Sobolev type inequality, with optimal constant, in Gauss space is established. A key step in the proof is an augmented version of the relevant inequality, which, by contrast, fails for a parallel classical inequality by Moser in the Euclidean space.
