  The aim of this work is to establish some cases of the
Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group for the
fractional Sobolev spaces. Here we work with the fractional Sobolev spaces as
given by Adimurthi and Mallick in [1]. Our inequalities also give an
improvement on the range of indices for the Hardy type inequality established
in [1].
