B值鞅的Hàjek-Rèniy型不等式及其应用

摘要

In this paper,we establish the Hàjek-Rènyi type inequality for Banach space Banach space valued martingales generalizing the recent results of Tómócs and Lτbor[1].Then ρ-uniformly smoothable Banach space is characterized in terms of the Hàjek-Rènyi type inequality for banach space valued martingales. Those results generalize the recent results of Gan Shixin[2].