  Potentials play an important role in solving boundary value problems for
elliptic equations. In the middle of the last century, a potential theory was
constructed for a two-dimensional elliptic equation with one singular
coefficient. In the study of potentials, the properties of the fundamental
solutions of the given equation are essentially used. At the present time,
fundamental solutions of a multidimensional elliptic equation with one
degeneration line are already known. In this paper, we investigate the
potentials of the double- and simple-layers for this equation, with the help of
which limit theorems are proved and integral equations containing in the kernel
the density of the above potentials are derived.
