Xing, Yang
- Institutionen för skogsekonomi, Sveriges lantbruksuniversitet
Sammanfattning
We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we prove the Cegrell type theorem on a complete description of the range of the complex Monge-Ampere operator in the class of omega-plurisubharmonic functions with vanishing complex Monge-Ampere mass on all pluripolar sets. As a by-product we obtain a stability theorem of solutions of complex Monge Ampere equations.
Nyckelord
Complex Monge-Ampere operator; Compact Kahler manifold
Publicerad i
Mathematische Zeitschrift
2009, volym: 263, nummer: 2, sidor: 331-344
Utgivare: SPRINGER
SLU författare
UKÄ forskningsämne
Geometri
Algebra och logik
Publikationens identifierare
- DOI: https://doi.org/10.1007/s00209-008-0420-8
Permanent länk till denna sida (URI)
https://res.slu.se/id/publ/49432