Majorizing measures and proportional subsets of bounded orthonormal systems..
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O. Guédon, S. Mendelson, A. Pajor, N. Tomczak-Jaegermann (2008)
Revista Matemática Iberoamericana
Manor Mendel, Assaf Naor (2013)
Journal of the European Mathematical Society
It is shown that a Banach space admits an equivalent norm whose modulus of uniform convexity has power-type if and only if it is Markov -convex. Counterexamples are constructed to natural questions related to isomorphic uniform convexity of metric spaces, showing in particular that tree metrics fail to have the dichotomy property.
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