Convergence in capacity

DOI10.5802/aif.2400zbMath1152.32021OpenAlexW1702004317MaRDI QIDQ939601

Yang Xing

Publication date: 26 August 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_5_1839_0

zbMATH Keywords

plurisubharmonic functionscapacitiesMonge-Ampère operator

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) General pluripotential theory (32U15)

Related Items (12)

Continuity of the complex Monge-Ampère operator on compact Kähler manifolds ⋮ Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets ⋮ Capacity and stability on some Cegrell classes of \(m\)-subharmonic functions ⋮ A note on maximal subextensions of plurisubharmonic functions ⋮ Complex Monge-Ampère equations for plurifinely plurisubharmonic functions ⋮ Range of the complex Monge–Ampère operator on plurifinely domain ⋮ Convergence in capacity of plurisubharmonic functions with given boundary values ⋮ Hölder continuity for solutions of the complex Monge-Ampère type equation ⋮ The stability of solutions to the complex Monge-Ampère equations in bounded \(\mathcal{F} \)-hyperconvex domains ⋮ A strong comparison principle of plurisubharmonic functions with finite pluricomplex energy ⋮ Monge–Ampère measures of maximal subextensions of plurisubharmonic functions with given boundary values ⋮ Envelope of plurisubharmonic functions in Cegrell's classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new capacity for plurisubharmonic functions
• Weak convergence of currents
• Fine topology, Šilov boundary, and \((dd^ c)^ n\)
• The Dirichlet problem for a complex Monge-Ampère equation
• Pluricomplex energy
• The general definition of the complex Monge-Ampère operator.
• The equation of complex Monge-Ampère type and stability of solutions
• Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary
• Continuity of the complex Monge-Ampère operator
• The range of the complex Monge-Ampere operator II
• The complex Monge-Ampère equation and pluripotential theory

This page was built for publication: Convergence in capacity