两类新型两指标B值鞅空间的相互嵌入关系
PDF下载 (339)叶 臣,舒启昂.两类新型两指标B值鞅空间的相互嵌入关系[J].宁波大学学报(理工版),2015,28(03):42-47.DOI:
YE Chen,SHU Qi-ang.Mutual Embedding Relation between Two New Types of Two-parameter Banach Space Valued Martingale Spaces[J].Journal of Ningbo University(Natural Science & Engineering Edition),2015,28(03):42-47.DOI:
| Title: | Mutual Embedding Relation between Two New Types of Two-parameter Banach Space Valued Martingale Spaces |
| 作者: | 叶 臣, 舒启昂 |
| Author(s): | YE Chen, SHU Qi-ang |
| 关键词: | 两指标B值鞅空间; Sharp算子; Fefferman不等式; p一致光滑; q一致凸 |
| Keywords: | two-parameter Banach space valued martingale spaces; Sharp operator; Fefferman inequalities; p-uniform smoothness; q-uniform convexity |
| 分类号: | O211.6 |
| 文献标识码: | A |
| 摘要: | 证明了两类新型两指标B值鞅空间的Fefferman不等式, 讨论了两类新型两指标值鞅空间相互嵌入关系与Banach空间几何性质间的联系: Banach空间的几何性质决定着鞅空间的相互嵌入关系; 鞅空间的嵌入关系也可刻画Banach空间的几何性质. |
| Abstract: | The Fefferman inequalities for two new types of two-parameter Banach space valued martingale spaces are proven. The relationship between the mutual embedding of two new types of two-parameter Banach space valued martingale spaces and the geometrical properties of Banach spaces are investigated. It is found that the geometrical properties of Banach spaces determine the embedding of martingale spaces which can in return characterize the geometrical properties conversely |
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| 备注/Memo: | 收稿日期: 2015?03?02. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 浙江省教育厅科研项目（Y201119684）. 第一作者: 叶臣（1974－）, 男, 新疆博湖人, 讲师, 主要研究方向: 随机过程与模式识别. E-mail: yechen@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
