关键词: 鞅, 好λ -不等式, 重排不等式, q凸空间

Abstract:

In this paper, some new isomorphic characterizations of q-convex Banach spaces are given in terms of good λ-inequalities and rearrangement inequalities of vector-valued martingales. In particular, we show that the inequalities are equivalent to each other when the martingales take their values in q-convexifiable Banach spaces.

Key words: Martingale, Good λ-inequality, Rearrangement inequality,  q-convex space