  Bootstrap equations for conformal correlators that mimic the early theory of
conformal bootstrap are written down in frames of the AdS/CFT approach. The
simplified version of these equations, that may be justified if
Schwinger-Keldysh formalism is used in AdS/CFT instead of conventional
Feynman-Witten diagrams technique, permits to calculate values of conformal
dimensions in the $O(N)$ symmetric model with conformal or composite
Hubbard-Stratonovich field.
