On the convergence in capacity on compact Kahler manifolds and its applications

DOI10.1090/S0002-9939-08-09043-6zbMath1169.32010OpenAlexW1992965040MaRDI QIDQ3506736

Phạm Hoàng Hiệp

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09043-6

zbMATH Keywords

Kähler manifoldcomplex Monge-Ampère operator\(\omega\)-plurisubharmonic functions

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)

Related Items (2)

Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds ⋮ Quasi-monotone convergence of plurisubharmonic functions

Cites Work

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• Plurisubharmonic functions with logarithmic singularities
• A new capacity for plurisubharmonic functions
• Intrinsic capacities on compact Kähler manifolds
• The Dirichlet problem for a complex Monge-Ampère equation
• Pluricomplex energy
• The general definition of the complex Monge-Ampère operator.
• Extremal plurisubharmonic functions in $C^N$
• Monge-Ampere equation on compact Kahler manifolds
• Uniqueness and stability for the complex Monge-Ampere equation on compact Kahler manifolds
• Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary
• Capacities associated to the Siciak extremal function
• Continuity of the complex Monge-Ampère operator
• Notions of convexity

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