Local property of maximal unbounded plurifinely plurisubharmonic functions

DOI10.1080/17476933.2018.1427082zbMath1406.32016OpenAlexW2791190633MaRDI QIDQ4646596

Nguyen Lien

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.1080/17476933.2018.1427082

zbMATH Keywords

\(\mathcal F\)-locally \(\mathcal F\)-maximal \(\mathcal F\)-plurisubharmonic functions\(\mathcal F\)-maximal \(\mathcal F\)-plurisubharmonic functions\(\mathcal F\)-plurisubharmonic functions

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)

Related Items (3)

The complex Monge-Ampère type equation for \(\mathcal{F}\)-plurisubharmonic functions ⋮ Maximality of plurifinely plurisubharmonic functions ⋮ Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains

Cites Work

• Local property of maximal plurifinely plurisubharmonic functions
• Maximal plurifinely plurisubharmonic functions
• Plurisubharmonic and holomorphic functions relative to the plurifine topology
• Monge-Ampère measures on pluripolar sets
• Local maximality for bounded plurifinely plurisubharmonic functions
• Approximation of plurifinely plurisubharmonic functions
• Plurifinely plurisubharmonic functions and the Monge Ampère operator
• Convergence in Capacity
• Continuity properties of finely plurisubharmonic functions and pluripolarity
• Pluripolar sets and the subextension in Cegrell's classes
• Range of the complex Monge–Ampère operator on plurifinely domain
• The domain of definition of the complex Monge-Ampere operator

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