论文标题
Plurisubharmonic功能的高斯相关性不平等
A Gaussian correlation inequality for plurisubharmonic functions
论文作者
论文摘要
相对于复杂的高斯措施，为圆形不变的多元性功能建立了正相关不平等。证明的主要成分是Ornstein-Uhlenbeck Semigroup，以及与高斯$ \ partial $ -laplacian相关的另一种天然半群。
A positive correlation inequality is established for circular-invariant plurisubharmonic functions, with respect to complex Gaussian measures. The main ingredients of the proofs are the Ornstein-Uhlenbeck semigroup, and another natural semigroup associated to the Gaussian $\partial$-Laplacian.
