Affiliation:
1. College of Science and Three Gorges Mathematical Research Center, China Three Gorges University , Yichang 443002 , PR China
Abstract
Abstract
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
{L}_{p}
projection body and complex
L
p
{L}_{p}
mixed projection body. Furthermore, we establish the Brunn-Minkowski-type inequalities for the general complex
L
p
{L}_{p}
projection bodies and the Aleksandrov-Fenchel-type inequalities for the general complex
L
p
{L}_{p}
mixed projection bodies.
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