Abstract
Lutwak established the Brunn–Minkowski inequality for projection bodies. Schuster [13] obtained the Brunn–Minkowski inequality for polar projection bodies. Associated with the \(L_p\)-Minkowski combinations of convex bodies, we extend Lutwak's result and Schuster's result to \(L_p\) forms, respectively.
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The author likes to sincerely thank the reviewers for very valuable and helpful comments and suggestions which made the paper more accurate and readable.
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Research is supported in part by the Natural Science Foundation of China (Grant No. 11371224).
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Wang, W.D. \(L_p\)-Brunn–Minkowski inequality for projection bodies. Acta Math. Hungar. 174, 192–201 (2024). https://doi.org/10.1007/s10474-024-01468-1
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DOI: https://doi.org/10.1007/s10474-024-01468-1