  It is shown that there are no nilpotent invariants in N=4 analytic superspace
for $n\leq4$ points. It is argued that there is (at least) one such invariant
for n=5 points which is not invariant under U(1)_Y. The consequences of these
results are that the n=2 and 3 point correlation functions of the N=4
gauge-invariant operators which correspond to KK multiplets in AdS supergravity
are given exactly by their tree level expressions, the 4 point correlation
functions of such operators are invariant under U(1)_Y and correlation
functions with $n\geq 4$ points have non-trivial dependence on the Yang-Mills
coupling constant.
