Let $\mu(z) dV$ be a measure in $\mathbb{C} ^n$, Let $B_{\mu}(r) $ be a ball in $\mathbb{C} ^n$, and $\partial B_{\mu}(r) $ is the sphere. In $\mathbb{C} $ haw we can find this inequality :

Vol$B_{\mu}(r)=\int_{B_{\mu}(r)} \mu(z) dV= \int_0^r\int_{\partial B_{\mu}(t)} \mu dt\geq \int_0^r [\int_{\partial B_{\mu}(t)}(\mu)^{ \frac{1}{2}} ]^2\frac{1}{2\pi t} dt$ ? And can we generate this inequality in $\mathbb {C} ^n$?