  It was recently observed in \cite{Park:2014tia} that the holographic nature
of gravity may hold a key to quantization of gravity. The so-called
"holographic quantization" has been carried out in
\cite{Park:2014noa,Park:2015ota} for Einstein gravity in a flat background.
Generalizing the procedure to a curved background is the main goal of the
present work. In particular, we consider the Einstein action expanded around a
Schwarzschild background
