  We derive explicit spin and charge correlation functions of the $N \times N$
Hubbard model from a recently obtained weak-coupling analytic ground state
$|\Q^{[0]}_{AF}\ket$. The spin correlation function shows an antiferromagnetic
behaviour with different signs for the two sublattices and its Fourier tranform
is peaked at ${\mathbf Q}=(\p,\p)$. The charge correlation function presents
two valleys at 45 degrees from the axes. Both functions behave in a smooth way
with increasing $N$; the results agree well with the available numerical data.
