A direct approach is used to establish both Ball and Barthe’s reverse isoperimetric inequalities for the unit balls of subspaces of Lp. This approach has the advantage that it completely settles all the open uniqueness questions for these inequalities. © 2004 Applied Probability Trust.
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Lutwak, E., Yang, D., & Zhang, G. (2004). Volume inequalities for subspaces of Lp. Journal of Differential Geometry, 68(1), 159–184. https://doi.org/10.4310/jdg/1102536713