摘要
通过引入两指标B值原子鞅,讨论了由p-均方函数和条件p-均方函数定义的Hardy鞅空间_pH_a^S(B)和_pH_a^s(B)中两指标B值鞅的原子分解,与原子函数不同,所得原子分解结果不受Banach空间几何性质的限制,推广了单指标B值鞅的相关结论.
The introduction of two-parameter B-valued atomic martingale is followed by establishing atomic martingale decompositions of two-parameter B-valued martingales in Hardy spaces _pH_a^S( B) and _pH_a^s( B), as defined by the p-variation function and conditional p-variation function respectively. Different from the results of the atomic function, those obtained here do not depend on the geometrical properties of the Banach space, and extend the corresponding known results from one-parameter setting to two-parameter setting.
作者
陈军刚
叶臣
钟才明
CHEN Jungang;YE Chen;ZHONG Caiming(College of Science and Technology, Ningbo University, Ningbo 315211, China)
出处
《宁波大学学报（理工版）》
CAS
2019年第5期95-99,共5页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
国家自然科学基金(61573235)
宁波大学科研基金(理)(XYL13010)
关键词
两指标B值鞅
原子鞅
原子分解
two-parameter B-valued martingale
atomic martingale
atomic decomposition
