  We study the holography of the new conformal higher spin theories imposing
general boundary conditions and the near horizon boundary conditions. General
boundary conditions lead to the asymptotic symmetry algebra which is a loop
algebra of the underlying gauge algebra. The near horizon boundary conditions
give u(1) currents at the boundary. For each of the boundary conditions we
consider an example of conformal graviton, and its combination with a vector,
and a spin-3 field, respectively. The near horizon boundary conditions lead to
three dimensional Banados-Teitelboim- Zanelli (BTZ)-like black hole which can
have up to four real eigenvalues, Lobachevsky solution, and to generalisation
of that BTZ-like solution. We verify this result independently obtaining it
from the Cotton tensor. We also consider the classification of the one
parameter subgroups of the SO(3,2) and comment on the classification of the
obtained solutions.
