论文标题
痕量不平等，等造成不平等的不平等和复杂的黑森州方程的规律性
Trace Inequalities, isocapacitary inequalities and regularity of the complex Hessian equations
论文作者
论文摘要
在本文中，我们研究了痕量不平等（Sobolev和Moser-trudinger型），等阵容不平等的关系，以及相对于一般的正骨量，复杂的Hessian和Monge-ampère方程的规律性。我们通过能力最小化功能的属性获得了这些关系的定量表征。
In this paper, we study the relations between trace inequalities(Sobolev and Moser-Trudinger type), isocapacitary inequalities and the regularity of the complex Hessian and Monge-Ampère equations with respect to a general positive Borel measure. We obtain a quantitative characterization for these relations through properties of the capacity minimizing functions.
