Orlicz-Brunn-Minkowski Inequalities for Complex Projection Bodies

Abardia and Bernig introduced the complex projection body and established the Brunn-Minkowski inequality for complex projection bodies. In this paper, we generalize their result and establish the Orlicz-Brunn-Minkowski inequality for complex projection bodies. And the Orlicz-Brunn-Minkowski inequality for polars of complex projection bodies is also obtained.