  In this paper, we provide upper bounds on several Rubinstein-type distances
on the configuration space equipped with the Poisson measure. Our inequalities
involve the two well-known gradients, in the sense of Malliavin calculus, which
can be defined on this space. Actually, we show that depending on the distance
between configurations which is considered, it is one gradient or the other
which is the most effective. Some applications to distance estimates between
Poisson and other more sophisticated processes are also provided, and an
application of our results to tail and isoperimetric estimates completes this
work.
