In this paper, we investigate subextension of plurisubharmonic functions in the weighted pluricomplex energy class E χ ( , f ). Moreover, we show the equality of the weighted Monge-Ampère measures of subextension and the given function.
In this paper, we prove the existence of weak solutions of equations of complex Monge–Ampère type for arbitrary measures, in particular, measures carried by pluripolar sets. As an application of the obtained result, we show the existence of weak solutions of equations of complex Monge–Ampère type in the class [Formula: see text] if there exist locally subsolutions.
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