两指标B值鞅的原子鞅分解
PDF下载 (150)陈军刚,叶 臣,钟才明.两指标B值鞅的原子鞅分解[J].宁波大学学报(理工版),2019,32(5):95-99.DOI:
CHEN Jungang,YE Chen,ZHONG Caiming.Atomic martingale decompositions of two-parameter B- valued martingales[J].Journal of Ningbo University(Natural Science & Engineering Edition),2019,32(5):95-99.DOI:
| Title: | Atomic martingale decompositions of two-parameter B- valued martingales |
| 作者: | 陈军刚, 叶 臣, 钟才明 |
| Author(s): | CHEN Jungang, YE Chen, ZHONG Caiming |
| 关键词: | 两指标B值鞅; 原子鞅; 原子分解 |
| Keywords: | two-parameter B-valued martingale; atomic martingale; atomic decomposition |
| 分类号: | O211.6 |
| 文献标识码: | A |
| 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 和 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. |
| Abstract: | 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 and , 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. |
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| 备注/Memo: | 收稿日期: 2018－04－03. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（61573235）, 宁波大学科研基金(理)（XYL13010）. 第一作者: 陈军刚（1978－）, 男, 河北石家庄人, 讲师, 主要研究方向: 应用数学. E-mail: chenjungang@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
