Strong Martingale Type and Uniform Smoothness
Journal of convex analysis, Tome 12 (2005) no. 1, pp. 159-172
Cet article a éte moissonné depuis la source Heldermann Verlag
We introduce stronger versions of the usual notions of martingale type p ≤ 2 and cotype q ≥ 2 of a Banach space X and show that these concepts are equivalent to uniform p-smoothness and q-convexity, respectively. All these are metric concepts, so they depend on the particular norm in X.
@article{JCA_2005_12_1_JCA_2005_12_1_a10,
author = {J. Wenzel},
title = {Strong {Martingale} {Type} and {Uniform} {Smoothness}},
journal = {Journal of convex analysis},
pages = {159--172},
year = {2005},
volume = {12},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a10/}
}
J. Wenzel. Strong Martingale Type and Uniform Smoothness. Journal of convex analysis, Tome 12 (2005) no. 1, pp. 159-172. http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a10/