应用数学2022,Vol.35Issue(1):1-11,11.
加权Orlicz-Lorentz鞅空间的原子分解及其应用
Atomic Decomposition of Weighted Orlicz-Lorentz Martingale Spaces and Its Applications
摘要
Abstract
In this paper, we research the atomic decomposition theorems of weighted Orlicz-Lorentz martingale spaces. We give the interpolation theorem of weighted Orlicz-Lorentz martingale spaces and boundedness of matingale's transform operator on different weighted Orlicz-Lorentz martingale spaces by atomic decompositions. The conclusions develop the theory of Orlicz and Lorentz martingale spaces.关键词
原子分解/内插理论/鞅变换Key words
Atomic decomposition/Interpolation theorem/Martingale's transform分类
数理科学引用本文复制引用
张传洲,李甜甜,张学英..加权Orlicz-Lorentz鞅空间的原子分解及其应用[J].应用数学,2022,35(1):1-11,11.基金项目
Supported by the National Natural Science Foundation of China(11871195) (11871195)