Weighted pluricomplex energy
Abstract
We study the complex Monge-Ampre operator on the classes of finite pluricomplex energy E () in the general case ((0)=0 i.e. the total Monge-Ampre mass may be infinite). We establish an interpretation of these classes in terms of the speed of decrease of the capacity of sublevel sets and give a complete description of the range of the operator (ddc ·)n on the classes E().
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