A theory of nonanalytic (long-range) exchange interaction between an e
lectron and a hole is developed for zero-dimensional excitons in semic
onductor nanostructures. Two particular cases are considered in detail
: (i) that of exciton confined in a spherical nanocrystal and (ii) a q
uantum-well exciton localized as a whole on an anisotropic island of w
ell-width monolayer fluctuation.