摘要
Abardia and Bernig proposed the notions of complex projection body and complex mixed projection body. In this paper, we introduce the concepts of the general complex L-p projection body and complex L-p mixed projection body. Furthermore, we establish the Brunn-Minkowski-type inequalities for the general complex L(p )projection bodies and the Aleksandrov-Fenchel-type inequalities for the general complex L(p)mixed projection bodies.