General complex Lp projection bodies and complex Lp mixed projection bodies

Authors :: Cheng Manli
Yang Wenjing
Zhou Yanping
Source :: Open Mathematics, Vol 20, Iss 1, Pp 167-178 (2022)
Publication Year :: 2022
Publisher :: De Gruyter, 2022.
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 Lp{L}_{p} projection body and complex Lp{L}_{p} mixed projection body. Furthermore, we establish the Brunn-Minkowski-type inequalities for the general complex Lp{L}_{p} projection bodies and the Aleksandrov-Fenchel-type inequalities for the general complex Lp{L}_{p} mixed projection bodies.