  We obtain the Knight shifts and the relaxation rates related to the Fermi
contact interaction term for a one-dimensional Cu-O model using bosonization
technique. We consider the small interaction limit at half-filling and away
from half-filling. In this framework we predict that the antiferromagnetic
contribution to the relaxation rate of the nuclear oxygen spin is completely
suppressed even away from half-filling, when the temperature is low enough. In
the strong interaction limit at half-filling we compute the effective Fermi
contact interaction performing a Gutzwiller projection. Both limits suggest
that the one-dimensional versions of the Mila-Rice and of the Shastry scenarios
of transferred hyperfine couplings which were proposed to explain the NMR
measurements for High-T_c cuprates fail in a one-dimensional situation.
