The complex Monge-Ampère type equation for \(\mathcal{F}\)-plurisubharmonic functions

DOI10.1007/s40306-021-00433-2zbMath1478.32107OpenAlexW3165582406MaRDI QIDQ2667216

Nguyen Thi Lien, Hoang Van Can, Hoang Viet

Publication date: 24 November 2021

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-021-00433-2

zbMATH Keywords

plurifinely plurisubharmonic functionscomplex Monge-Ampère-type equations

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)

Related Items (1)

Envelope of plurisubharmonic functions in Cegrell's classes

Cites Work

• Local property of maximal plurifinely plurisubharmonic functions
• Maximal plurifinely plurisubharmonic functions
• Plurisubharmonic and holomorphic functions relative to the plurifine topology
• Some weighted energy classes of plurisubharmonic functions
• The Dirichlet problem for a complex Monge-Ampère equation
• The general definition of the complex Monge-Ampère operator.
• Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains
• The equation of complex Monge-Ampère type and stability of solutions
• Plurifinely plurisubharmonic functions and the Monge Ampère operator
• Weak solutions to the complex Monge–Ampère equation on hyperconvex domains
• Continuity properties of finely plurisubharmonic functions and pluripolarity
• Plurifine potential theory
• Weak solutions of equations of complex Monge-Ampère type
• Local property of maximal unbounded plurifinely plurisubharmonic functions
• Range of the complex Monge–Ampère operator on plurifinely domain

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