We investigate optical near-field spectra of single and coupled semiconduct
or quantum dots. An enhanced role for the Coulomb correlations is predicted
, and it is shown that the spectra depend crucially on the spatial resoluti
on of the "local" probe. The intensity of certain optical peaks as a functi
on of the resolution exhibits an unexpected non-monotonic behavior, which i
s identified as a fingerprint of Coulomb interactions in zero-dimensional n
anostructures.