  This paper investigated the Bose system in a spherical shell close to the
black hole horizon. Several thermodynamic quantities of the Bose system are
derived, which are different from those in the flat spacetime, by introducing
the generalized uncertainty principle (GUP) into the grand partition function
of statistical mechanics. The internal energy and the pressure of the Bose
system appear to have a correction term of $T^6$, while the entropy has a $T^5$
correction term where both the coefficients are functions of the spacetime
component $g_{00}$ and the brick-wall model parameter $\epsilon$. Taking the
Schwarzschild black hole as an example, the physical quantities of the shell
such as temperature, pressure and entropy are calculated for the final stage of
black hole radiation.
