小指标情形下两参数B值鞅空间的对偶
PDF下载 (195)叶 臣,陈军刚,钟才明.小指标情形下两参数B值鞅空间的对偶[J].宁波大学学报(理工版),2020,33(2):107-112.DOI:
YE Chen,CHEN Jungang,ZHONG Caiming.Dual of two-parameter B-valued martingales Hardy space with small index[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(2):107-112.DOI:
| Title: | Dual of two-parameter B-valued martingales Hardy space with small index |
| 作者: | 叶 臣, 陈军刚, 钟才明 |
| Author(s): | YE Chen, CHEN Jungang, ZHONG Caiming |
| 关键词: | 两指标B值鞅空间; 对偶空间; 原子分解 |
| Keywords: | two-parameter B-valued martingale space; dual space; atomic decomposition |
| 分类号: | O211.6 |
| 文献标识码: | A |
| 摘要: | 通过对两参数B值鞅引入新型Campanato空间, 运用原子分解的经典技巧, 证明了在小指标 情形下，由条件p均方函数定义的两参数B值鞅空间 的对偶空间等价于 , 所得结论推广了单参数B值鞅和两参数实值鞅的相关结论. |
| Abstract: | By introducing a new type of Campanato spaces for two-parameter B-valued martingale and employing the classical technique of atomic decomposition, it is proved that the dual space of two- parameter B-valued martingale space defined by conditional p-variation function for small index is equivalent to . The results obtained in this work extends the corresponding known results derived from two-parameter real-valued martingale setting and one-parameter B-valued martingale setting to two-parameter B-valued martingale setting. |
| 参考文献 /References: | [1] Herz C. Bounded mean oscillation and regulated martingales[J]. Transactions of the American Mathematical Society, 1974, 193:199-215. [2] Herz C. Hp-spaces of martingales, 0[3] Wersz F. Martingale Hardy spaces for 0 [4] Weisz F. Martingale Hardy Spaces and Their Applications in Fourier Analysis (LNM1568)[M]. New York: Springer- Verlag Press, 1994:100-122. |
| 备注/Memo: | 收稿日期: 2018－12－18. 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/ |
