On the Cegrell classes associated to a positive closed current

DOI10.1007/S11401-019-0152-6zbMath1418.32021OpenAlexW2950787500MaRDI QIDQ2002177

Mohamed Zaway

Publication date: 11 July 2019

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-019-0152-6

zbMATH Keywords

capacityplurisubharmonic functionMonge-Ampère operatorpositive closed current

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Currents (32U40) Capacity theory and generalizations (32U20)

Related Items (1)

Plurisubharmonic functions and Monge-Ampère operators on complex varieties in bounded domains of \(\mathbb{C}^n\)

Cites Work

• Lelong-Demailly numbers in terms of capacity and weak convergence for closed positive currents
• A new capacity for plurisubharmonic functions
• Local \(T\)-pluripolarity and \(T\)-pluripolarity of a subset and some Cegrell's pluricomplex energy classes associated to a positive closed current
• Pluricomplex energy
• The general definition of the complex Monge-Ampère operator.
• Capacity associated to a positive closed current
• 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
• Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary
• Continuity of the complex Monge-Ampère operator
• The complex Monge-Ampère equation and pluripotential theory

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