Orlicz鞅类中极大算子的加权不等式
WEIGHTED INEQUALITIES FOR MAXIMAL OPERATOR IN ORLICZ MARTINGALE CLASSES

本文研究了极大算子的加权不等式.利用权的性质，证明了a（·）和b（·）的不等式蕴含极大算子的加权不等式，也证明了相应的逆命题.本文的结果将L log L的相关理论拓展到了加权的Orlicz鞅类中.
In this paper, we study weighted inequalities for maximal operators in Orlicz martingale classes. By using the properties of weights, we obtain that inequalities of a(·) and b(·) imply weighted inequalities involving maximal operator in uniformly integral martingale classes. The converse is also considered, which extends the theory of class L log L