On the Martingale Transforms in ezpLp and Its Application

摘要：

Let 1＜α＜β＜+∞ and 1＜β＜γ＜+∞. Let νnbe an adapted process of n, and fn be a martingale about n. νnis multiplier of martingale transform to be of type (exp Lα,exp Lβ). Let φ(t)be continuous nonnegative strictly increasing convex function defined ono,+∞, satisfying the Δ2 -condition such that there is a constant c1＞1 such that φ-1(t)1n(1+t)-1/a is non-increasing inc1,+∞, andφ(t) be continuous nonnegative strictly increasing function defined on0,+∞, satisfying φ-1(t)1n(1+u)δ≤Kψ-1(t) for all t＞c2, where K＞0 and c2＞1 are constants and δ=max1/β-1/α,1/γ, then transform of multiplier νnis to be type (Lφ,Lφ)‖Tvf‖Lφ≤C‖f‖Lφ,where C is a constant.

关键词： Martingale Inequality Mazimal Function Orlicz Space Rearrangement Function

作者: JIN Yanming

作者单位: Science College, China Three Gorges University, Yichang, P.R.China, 443002

会议类型: 国际会议

会议名称: 2008年国际应用统计学术研讨会(2008 International Institute of Applied Statistics Studies)

会议地点: 烟台

会议语种:英文

页码: 1-5

在线出版日期: 2008-08-14（万方平台首次上网日期，不代表论文的发表时间）