鞅的均方算子加权凸Φ不等式的推广

Extension of weighted convex Φ inequalities for aquare operator of martingale

借助Davis不等式证明了当1<p≤2时鞅的极大函数和p-均方函数满足好λ-不等式,并在此基础上应用Davis分解将均方算子的加权凸Φ不等式推广到p-均方函数中。

With the help of Davis inequality,we prove that maximal function and p-square function of martingale satisfies goodλ-inequality while 1 p ≤ 2,and on the basis of this inequality and Davis decomposition,the weighted convex Φ inequalities for square operator is extended to p-square function.