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The complex Monge-Ampère equation and pluripotential theory
About this Title
Sławomir Kołodziej
Publication: Memoirs of the American Mathematical Society
Publication Year:
2005; Volume 178, Number 840
ISBNs: 978-0-8218-3763-4 (print); 978-1-4704-0441-3 (online)
DOI: https://doi.org/10.1090/memo/0840
MathSciNet review: 2172891
MSC: Primary 32W20; Secondary 32U15
Table of Contents
Chapters
- 1. Positive currents and plurisubharmonic functions
- 2. Siciak’s extremal function and a related capacity
- 3. The Dirichlet problem for the Monge-Ampère equation with continuous data
- 4. The Dirichlet problem continued
- 5. The Monge-Ampère equation for unbounded functions
- 6. The complex Monge-Ampère equation on a compact Kähler manifold