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The complex Monge–Ampère equation for complex homogeneous functions in C<sup>n</sup>
We prove some existence results for the complex Monge–Ampère equation $(dd^cu)^n =gd\lambda $ in ${\mathbb C}^n $ in a certain class of homogeneous functions in ${\mathbb C}^n $, i.e. we show that for some nonnegative complex homogeneous functio