摘要
研究由算子值乘子序列所生成的广义鞅变换算子在向量值Garsia型鞅空间上的一系列Φ-不等式。作为应用,给出了Garsia型鞅空间中极大算子与p阶均方算子之间的Φ-不等式的证明并加以推广,所得结论与Banach空间的几何性质有着密切联系.
A series ofΦ-inequalities for operator-valued martingale transforms in Garsia space are investigated.As an application,theΦ-inequalities between maximal operator and the pvariation of Banach-space-valued martingales are proved and extended.By the results obtained here,the geometric properties of Banach spaces are exposed.
出处
《汉江师范学院学报》
2017年第3期1-7,共7页
Journal of Hanjiang Normal University
基金
汉江师范学院校级科研项目(项目编号:2016C09)
