General complex Lp projection bodies and complex Lp mixed projection bodies

Cheng Manli; Yang Wenjing; Zhou Yanping

doi:10.1515/math-2022-0027

Open Mathematics (Apr 2022)

General complex Lp projection bodies and complex Lp mixed projection bodies

Cheng Manli,
Yang Wenjing,
Zhou Yanping

Affiliations

Cheng Manli: College of Science and Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, PR China
Yang Wenjing: College of Science and Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, PR China
Zhou Yanping: College of Science and Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, PR China

DOI: https://doi.org/10.1515/math-2022-0027
Journal volume & issue: Vol. 20, no. 1
pp. 167 – 178

Abstract

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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.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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