Global and local definition of the Monge-Ampère operator on compact Kähler manifolds

DOI10.1016/j.crma.2012.01.025zbMath1239.32033OpenAlexW2003817094MaRDI QIDQ765744

D. Kharzeev

Publication date: 22 March 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.01.025

zbMATH Keywords

plurisubharmonic functionsMonge-Ampère operator

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20)

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On some classes of \(\omega\)-plurisubharmonic functions on compact Kähler manifolds

Cites Work

• Maximal subextensions of plurisubharmonic functions
• A new capacity for plurisubharmonic functions
• Intrinsic capacities on compact Kähler manifolds
• Uniqueness in \(\mathcal E(X,\omega)\)
• Monge-Ampère measures on pluripolar sets
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Pluricomplex energy
• The complex Monge-Ampère equation
• Subextension of plurisubharmonic functions with weak singularities
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
• A general Dirichlet problem for the complex Monge–Ampère operator
• Monge-Ampere equation on compact Kahler manifolds
• The complex Monge-Ampère equation and pluripotential theory
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