  We extend in this article the classical Sobolev inequalities for the module
of continuity for the functions belonging to the integer order Sobolev's space
on the Sobolev-Bilateral Grand Lebesgue spaces.
  As a consequence, we deduce the fractional Orlicz-Sobolev imbedding theorems
and investigate the rectangle module of continuity of non-Gaussian
multiparameter random fields.
