Matrix inequalities and the complex Monge-Ampère operator

Jonas Wiklund. "Matrix inequalities and the complex Monge-Ampère operator." Annales Polonici Mathematici 83.3 (2004): 211-220. <http://eudml.org/doc/280544>.

@article{JonasWiklund2004,
abstract = {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.},
author = {Jonas Wiklund},
journal = {Annales Polonici Mathematici},
keywords = {complex Monge-Ampère equation; plurisubharmonic function; Lelong number},
language = {eng},
number = {3},
pages = {211-220},
title = {Matrix inequalities and the complex Monge-Ampère operator},
url = {http://eudml.org/doc/280544},
volume = {83},
year = {2004},
}

TY - JOUR
AU - Jonas Wiklund
TI - Matrix inequalities and the complex Monge-Ampère operator
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 3
SP - 211
EP - 220
AB - 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.
LA - eng
KW - complex Monge-Ampère equation; plurisubharmonic function; Lelong number
UR - http://eudml.org/doc/280544
ER -