变指数二进鞅空间上二进求导极大算子有界性研究（英文）

The Boundedness of Maximal Dyadic Derivative Operator on Dyadic Martingale Hardy Space with Variable Exponents

本文研究变指数二进鞅空间理论.借助于对数Holder连续的等价刻画,得到Doob不等式.借助于变指数鞅空间的原子分解理论,证明二进求导极大算子的有界性,上述结果推广了经典情形结论.

In this paper, we research dyadic martingale Hardy space with variable exponents. By the characterization of log-Holder continuity, the Doob's inequality is derived. Moreover, we prove the boundedness of maximal dyadic derivative operator by the atomic decomposition of variable exponent martingale space, which generalizes the conclusion in classical case.