  We prove exponential correlation decay in dispersing billiard flows on the
2-torus assuming finite horizon and lack of corner points. With applications
aimed at describing heat conduction, the highly singular initial measures are
concentrated here on 1-dimensional submanifolds (given by standard pairs) and
the observables are supposed to satisfy a generalized H\"older continuity
property. The result is based on the exponential correlation decay bound of
Baladi, Demers and Liverani obtained recentlyfor H\"older continuous
observables in these billiards. The model dependence of the bounds is also
discussed.
