两指标B值强鞅平削算子不等式与Banach空间的几何性质
PDF下载 (320)叶 臣.两指标B值强鞅平削算子不等式与Banach空间的几何性质[J].宁波大学学报(理工版),2013,26(03):62-65.DOI:
YE Chen.Sharp Operator Inequalities for Two-parameter Banach Space Valued Strong Martingale and Geometric Properties of Banach Space[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(03):62-65.DOI:
| Title: | Sharp Operator Inequalities for Two-parameter Banach Space Valued Strong Martingale and Geometric Properties of Banach Space |
| 作者: | 叶 臣 |
| Author(s): | YE Chen |
| 关键词: | 两指标B值强鞅; 平削算子; 可光滑; 可凸 |
| Keywords: | two-parameter Banach space valued strong martingale; sharp operator; p-smoothable; q-convexifiable |
| 分类号: | O211.6 |
| 文献标识码: | A |
| 摘要: | 证明了两指标B值强鞅平削算子不等式, 讨论了由平削算子生成的两指标B值强鞅空间的相互嵌入关系, 其结果与Banach空间的几何性质有密切联系. |
| Abstract: | Some sharp operator inequalities for two-parameter Banach space valued strong martingale are proved. The embedding relationships between the two-parameter Banach space valued strong martingale spaces generated by sharp operator are discussed. The results obtained in this paper are associated closely with the geometric properties of the Banach space. |
| 参考文献 /References: | [1] Ye Chen, Gan Shixin, Zhang Feng. Davis’s inequalities for two-parameter Banach space valued strong martin- gales and geometrical properties of Banach spaces[J]. Wuhan University Journal of Natural Sciences, 2000, 5(2): 131-136. [2] 叶臣. 两指标B值强鞅空间与Banach空间的几何性质[J]. 宁波大学学报: 理工版, 2002, 15(4):13-17. [3] Fefferman C, Stein E M. HP spaces of several variables[J]. Acta Math, 1972, 129:137-194. [4] 于林. 平削算子生成的B值鞅空间及其原子分解[J]. 应用数学, 2004, 17(1):108-114. [5] 刘培德. 鞅与Banach空间几何学[M]. 武汉: 武汉大学出版社, 1993. [6] 刘培德. 鞅空间与Banach空间的几何性质[J]. 中国科学, 1990, 7(A):694-704. [7] 李宏, 叶臣. 两指标B值强鞅的收敛性与Banach空间几何性质[J]. 宁波大学学报: 理工版, 2011, 24(4):41-44. [8] Yu lin. Duals of Banach-space-valued martingale Hardy spaces[J]. Kyungpook Mathematical Journal, 2001, 41(2): 259-275. |
| 备注/Memo: | 收稿日期: 2013?02?20. 基金项目: 浙江省教育厅科研项目（Y201119684）.作者简介: 叶 臣（1974－）, 男, 新疆博湖人, 硕士/讲师, 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/ |
