论文标题
Ornstein-Uhlenbeck操作员的急剧指数不平等
Sharp exponential inequalities for the Ornstein-Uhlenbeck operator
论文作者
论文摘要
检测到高斯空间中Ornstein-Uhlenbeck操作员的一类指数类型不等式中的最佳常数。还建立了相关不平等中极端功能的存在。与亚当斯（Adams）对拉普拉斯（Laplace）操作员的不平等相比，我们的结果揭示了类比和差异，这是我们在欧几里得空间中不平等的同伴。
The optimal constants in a class of exponential type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space are detected. The existence of extremal functions in the relevant inequalities is also established. Our results disclose analogies and dissimilarities in comparison with Adams' inequality for the Laplace operator, a companion of our inequalities in the Euclidean space.
