Under some conditions on probability, we discuss the results in [1] for the part r > 1, which Yang[1] had not solved, such that the convergence rates are solved thoroughly in this case. Obviously our conditions are weaker than Yang's corresponding moment conditions. Meanwhile, Banach spaces of type p(1 < p ≤2) are characterized. For 0
In this paper, we establish some ratio inequalities for locally square inte-grable martingales, and give some extensions of the related results for continuous local martingales.
