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math.CV2007★ 2 cited
The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds
Yang Xing
We introduce a wide subclass of quasi-plurisubharmonic functions in a compact Kähler manifold, on which the complex Monge-Ampère operator is well-defined and the co…
math.CV2007
Continuity of the Complex Monge-Ampere Operator on Compact Kahler Manifolds
Yang Xing
We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we give a new proof of a recent result of Guedj and Zer…
math.CV2007
A Decomposition of Complex Monge-Ampere Measures
Yang Xing
We prove one decomposition theorem of complex Monge-Ampere measures of plurisubharmonic functions in connection with their pluripolar sets.