A unified approach used to generalize classical Brunn-Minkowski
type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp trans-
ference principle, is refined in this paper. As illustrations of the effectiveness
and practicability of this method, several new Lp Brunn-Minkowski type in-
equalities concerning the mixed volume, moment of inertia, quermassintegral,
projection body and capacity are established.