  This article gives dual representations for convex integral functionals on
the linear space of regular processes. This space turns out to be a Banach
space containing many more familiar classes of stochastic processes and its
dual can be identified with the space of optional Radon measures with
essentially bounded variation. Combined with classical Banach space techniques,
our results allow for a systematic treatment of stochastic optimization
problems over BV processes and, in particular, yields a maximum principle for a
general class of singular stochastic control problems.
