  We investigate a microscopic black hole in case of modified generalized
uncertainty principle with a minimal uncertainty in position as well as in
momentum. We calculate thermodynamical functions of a Schwarzschild black hole
such as temperature, entropy and heat capacity. It is shown that incorporation
of minimal uncertainty in momentum leads to minimal temperature of a black hole
similarly as we have for Schwarzschschild-AdS black hole without minimal
uncertainty. Minimal temperature gives rise to Hawking-Page phase transition.
Emission rate equation and black hole lifetime are also obtained.
