PomeCorollary 7.12.6.0B504335901F Let $u,v$ be locally bounded plurisubharmonic functions on an open set $\Omega \subset \mathbb C^ n$, $n\geq 1$, and let $\mu $ be a positive Radon measure on $\Omega $. If $f,g$ are nonnegative Borel functions on $\Omega $ and
\[ (\mathrm{dd}^{\mathrm{c}}u)^ n\geq f\mu ,\qquad (\mathrm{dd}^{\mathrm{c}}v)^ n\geq g\mu , \]
then, for each integer $1\leq k\leq n-1$,
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7.12.7
\begin{equation} (\mathrm{dd}^{\mathrm{c}}u)^ k\wedge (\mathrm{dd}^{\mathrm{c}}v)^{n-k} \geq f^{k/n}g^{(n-k)/n}\mu . \end{equation}
For $k=0$ and $k=n$ the corresponding inequalities are the hypotheses; for $n=1$ only these occur.
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