Matrix inequalities and the complex Monge-Ampère operator

• Autorzy: Jonas Wiklund
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32U25: Lelong numbers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 3
• Strony: 211-220

Daty

wydano

2004

Twórcy

autor

Jonas Wiklund

• Matematiska Institutionen, Umeå Universitet, S-901 87 Umeå, Sweden

Identyfikatory

DOI

10.4064/ap83-3-3