  In this paper, we study the effects of high-order operators on the
non-relativistic Lifshitz holography in the framework of the
Ho\v{r}ava-Lifshitz (HL) theory of gravity, which naturally contains high-order
operators in order for the theory to be power-counting renormalizble, and
provides an ideal place for such studies. In particular, we show that the
Lifshitz space-time is still a solution of the full theory of the HL gravity.
The effects of the high-oder operators on the space-time itself is simply to
shift the Lifshitz dynamical exponent. However, while in the infrared the
asymptotic behavior of a (probe) scalar field near the boundary is similar to
that studied in the literature, it gets dramatically modified in the UV limit,
because of the presence of the high-order operators in this regime. Then,
according to the gauge/gravity duality, this in turn affects the two-point
correlation functions.
