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\(L_p\)-Brunn–Minkowski inequality for projection bodies

  • W. D. Wang

摘要

Lutwak established the Brunn–Minkowski inequality for projectionbodies. Schuster [13] obtained the Brunn–Minkowski inequality for polarprojection bodies. Associated with the \(L_p\) L p -Minkowski combinations of convexbodies, we extend Lutwak's result and Schuster's result to \(L_p\) L p forms, respectively.