  We show some symmetry relations among the correlation functions of the
integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate
the multiple integrals representing the one-point functions in the spin-1 case.
We review the multiple-integral representations of correlation functions for
the integrable higher-spin XXZ chains derived in a region of the massless
regime including the anti-ferromagnetic point. Here we make use of the gauge
transformations between the symmetric and asymmetric R-matrices, which
correspond to the principal and homogeneous gradings, respectively, and we send
the inhomogeneous parameters to the set of complete 2s-strings. We also give a
numerical support for the analytical expression of the one-point functions in
the spin-1 case.
