两指标B值鞅空间的对偶
PDF下载 (13142)叶 臣,钟才明.两指标B值鞅空间的对偶[J].宁波大学学报(理工版),2018,31(2):79-82.DOI:
YE Chen,ZHONG Cai-ming.Dual of two-parameter Banach space valued martingale space pHαS(B)[J].Journal of Ningbo University(Natural Science & Engineering Edition),2018,31(2):79-82.DOI:
| Title: | Dual of two-parameter Banach space valued martingale space pHαS(B) |
| 作者: | 叶 臣, 钟才明 |
| Author(s): | YE Chen, ZHONG Cai-ming |
| 关键词: | 两指标B值鞅空间; 对偶空间; p一致光滑; q一致凸 |
| Keywords: | two-parameter Banach space valued martingale spaces; dual space; p-uniform smoothness; q-uniform convexity |
| 分类号: | O211.6 |
| 文献标识码: | A |
| 摘要: | 通过引入新型两指标B值鞅空间, 利用两指标B值鞅的Fefferman不等式, 证明了当B为自反Banach空间时, 由p均方算子定义的两指标B值鞅空间pHαS(B)的对偶空间是qKα’S(B*), 同时讨论了对偶空间的相互嵌入关系与Banach空间的几何性质之间的密切联系. |
| Abstract: | By introducing two new types of two-parameter Banach space valued martingale spaces and using Fefferman inequalities, it is proved that the dual space of two-parameter Banach space valued martingale space associated with p-variation is . The relationship between the mutual embedding of dual spaces and the geometrical properties of Banach space is also investigated. |
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| 备注/Memo: | 收稿日期: 2017－05－27. 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）. 第一作者: 叶臣（1974－）, 男, 新疆博湖人, 副教授, 主要研究方向: 随机过程与随机分析. E-mail: yechen@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
