QCD coherence effects are studied based on measurements of correlations between particles with either restricted transverse momenta, pT < pTcut, or restricted absolute momenta, p = |vec(p)| < pcut, using about four million Z0 hadronic decays recorded at LEP with the OPAL detector. The correlations are analyzed in terms of normalized factorial and cumulant moments. The analysis is inspired by recent analytical QCD calculations which, in conjunction with Local Parton-Hadron Duality (LPHD), predict that, due to color coherence, the multiplicity distribution of particles with restricted transverse momenta becomes Poissonian as pTcut approaches zero. The expected correlation pattern is indeed observed for pTcut values above ~0.6 - 1 GeV but not at lower momenta. The e+e- data are also compared to recent measurements in deep-inelastic e+p collisions. It is tempting to interpret the pTcut-range 0.6-1 GeV as a border-line between a regime of perturbative dynamics where the LPHD hypothesis is justified, and a regime where soft particle production is dominated by strong confinement forces where LPHD applied to many-particle inclusive observables ceases to be valid.