QCD Predictions for $g_1^p$ at Small $x$ Incorporating Double $l{n}^2(1\mathrm{/}x)$ Resummation

The proton spin dependent structure function $g_1^p$ is analysed using the unified scheme incorporating both Altarelli-Parisi evolution and the double $l{n}^2(1\mathrm{/}x)$ effects at low $x$. The latter are found to be very important in the region of $x$ which can possibly be probed at HERA. Predictions for the polarized gluon distribution $\mathrm{\Delta }G(x)$ at low $x$ are also given.