Inequalities about normalized <em>L<sub>p</sub> </em> projection body

Research Article

Inequalities about normalized Lp projection body

Published in: Quaestiones Mathematicae
Volume 44 , issue 10 , 2021 , pages: 1333–1346
DOI: 10.2989/16073606.2020.1795002
Author(s): Zhongwen Tang , P.R. China , Lin Si , P.R. China
Keywords: 52A40 , 52A40
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Abstract

In this paper, we establish a Loomis-Whitney type inequality about volume normalized Lp projection body for p ≥ 1 with complete equality conditions for p ̸= 2. Meanwhile, an estimate for the weighted Lp zonoid is given.
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