Suppose $u$ is harmonic on the Calabi model space $(\mathcal{C},g_{\mathcal{C}})$, i.e.,

(4.93)

$$\Delta_{g_{\mathcal{C}}}u=0,$$

If $u=O(e^{\delta z})$ for some $\delta\in(0,\underline{\delta})$, where $\underline{\delta}>0$ depends only on the Calabi model space $(\mathcal{C},g_{\mathcal{C}})$. then there are constants $a_{0},b_{0}\in\mathbb{R}$ such that

(4.94)

$$u(z)=a_{0}z+b_{0}+O(e^{-\underline{\delta}z}).$$