Continuity of the complex Monge-Ampère operator on compact Kähler manifolds

DOI10.1007/s00209-008-0420-8zbMath1179.32015arXivmath/0703755OpenAlexW2104532744MaRDI QIDQ841102

Yang Xing

Publication date: 14 September 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703755

zbMATH Keywords

convergence in capacity\(\omega\)-plurisubharmonic functionCegrell class

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20) Capacity theory and generalizations (32U20)

Related Items

Extremal potentials and equilibrium measures for collections of Kähler classes ⋮ Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity ⋮ Quasi-monotone convergence of plurisubharmonic functions ⋮ A complete metric topology on relative low energy spaces ⋮ RETRACTED: Poisson-type inequalities for growth properties of positive superharmonic functions

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