  A generalized dilaton action is considered of which the standard dilaton
black hole and spherically reduced gravity are particular cases. The
Arnowitt-Deser-Misner (ADM) and the Bondi-Sachs (BS) mass are calculated.
Special attention is paid to both the asymptotic conditions for the metric as
well as for the reference space-time. For the latter one we suggest a modified
expression thereby obtaining a new definition of energy. Depending on the
parameters of the model the Hawking radiation behaves like a positive or
negative power of the mass.
