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Maximal inequalities, convexity inequality and their duality. I. (English) Zbl 0477.60049


MSC:

60G42 Martingales with discrete parameter
60E15 Inequalities; stochastic orderings
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References:

[1] J. Neveu,Discrete parameter martingales, North-Holland (Amsterdam, 1975). · Zbl 0345.60026
[2] A. Garsia, On a convex function inequality for martingales,Ann. Probability,1 (1973), 171–174. · Zbl 0289.60026
[3] J.Mogyoródi, On an inequality of Marcinkiewicz and Zygmund,Publ. Math. Debrecen (to appear).
[4] R. F. Gundy, On the classL logL, martingales and singular integrals,Studia Math.,23 (1969), 109–118. · Zbl 0181.44202
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