Let $\phi$ be a smooth solution to (6.1), (6.2) in $B_{1}\subset\mathbb{C}^{2}$ such that $|\nabla\phi|$ is bounded. Then for some constant $C_{6.4}$, we have

(6.29)

$$e^{G}\leq C_{6.4}\textrm{ in $B_{\frac{1}{2}}$.}$$

Here $C_{6.4}$ depends only on $||\nabla\phi||_{0}$ and $\underline{R}$.