  We construct the operator product expansions (OPE) of the chiral primary
operators in the worldsheet theory for strings on AdS_3 x S^3 x T^4. As an
interesting application, we will use the worldsheet OPEs to derive a recursion
relation for a particular class of extremal p-point correlators on the sphere.
We compare our result with the corresponding recursion relation previously
found in the symmetric orbifold theory on the boundary of AdS_3.
