Matrix inequalities and the complex Monge–Ampère operator
Tom 83 / 2004
Annales Polonici Mathematici 83 (2004), 211-220
MSC: 32F07, 32U25.
DOI: 10.4064/ap83-3-3
Streszczenie
We study two known theorems regarding Hermitian matrices: Bellman's principle and Hadamard's theorem. Then we apply them to problems for the complex Monge–Ampère operator. We use Bellman's principle and the theory for plurisubharmonic functions of finite energy to prove a version of subadditivity for the complex Monge–Ampère operator. Then we show how Hadamard's theorem can be extended to polyradial plurisubharmonic functions.
