Subextension of plurisubharmonic functions in unbounded hyperconvex domains and applications

DOI10.1080/17476933.2016.1143466zbMath1345.32033OpenAlexW2318493548MaRDI QIDQ5739810

Nguyen Van Khiem, Trieu van Dung, Le Mau Hai

Publication date: 20 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1143466

zbMATH Keywords

complex Monge-Ampère operatorssubextension of plurisubharmonic functionsunbounded hyperconvex domainsapproximation of plurisubharmonic functions

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Plurisubharmonic exhaustion functions (32U10)

Related Items

Subextension of \(m\)-subharmonic functions

Cites Work

• Subextension and approximation of negative plurisubharmonic functions
• Monge-Ampère measures on pluripolar sets
• Subextension of plurisubharmonic functions with bounded Monge--Ampère mass
• The general definition of the complex Monge-Ampère operator.
• A note on the approximation of plurisubharmonic functions
• Subextension of plurisubharmonic functions without changing the Monge–Ampère measures and applications
• Convergence in Capacity
• The complex Monge–Ampère equation in unbounded hyperconvex domains in ℂⁿ
• APPROXIMATION OF NEGATIVE PLURISUBHARMONIC FUNCTIONS WITH GIVEN BOUNDARY VALUES
• A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
• Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes
• A general Dirichlet problem for the complex Monge–Ampère operator
• Subextension of plurisubharmonic functions without increasing the total Monge–Ampère mass