  We study the charge and heat transport through the correlated quantum dot
with a finite value of the charging energy U \neq \infty . The Kondo resonance
appearing at temperatures below T_K is responsible for several qualitative
changes of the electric and thermal transport. We show that under such
conditions the semiclassical Mott relation between the thermopower and electric
conductivity is violated. We also analyze the other transport properties where
a finite charging energy U has a significant influence. They are considered
here both, in the limit of small and for arbitrarily large values of the
external voltage eV and/or temperature difference. In particular, we check
validity of the Wiedemann-Franz law and the semiclassical Mott relation.
