Interpolation and I broken vertical bar-moment inequalities of noncommutative martingales
文献类型：期刊论文
| 作者 | Bekjan, Turdebek N.2; Chen, Zeqian1 |
| 刊名 | PROBABILITY THEORY AND RELATED FIELDS
 |
| 出版日期 | 2012-02-01 |
| 卷号 | 152期号:1-2页码:179-206 |
| 关键词 | tau-Measurable operators Noncommutative martingale Interpolation Phi-Moment martingale inequality Noncommutative Orlicz space |
| 英文摘要 | This paper is devoted to the study of phi-moment inequalities for noncommutative martingales. In particular, we prove the noncommutative phi-moment analogues of martingale transformations, Stein's inequalities, Khintchine's inequalities for Rademacher's random variables, and Burkholder-Gundy's inequalities. The key ingredient is a noncommutative version of Marcinkiewicz type interpolation theorem for Orlicz spaces which we establish in this paper. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Statistics & Probability |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | MEASURABLE OPERATORS ; BURKHOLDER/ROSENTHAL INEQUALITIES ; KHINTCHINE INEQUALITIES ; SYMMETRIC-SPACES ; H-P ; THEOREM ; EXTRAPOLATION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000299131700006 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1620]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bekjan, Turdebek N.,Chen, Zeqian. Interpolation and I broken vertical bar-moment inequalities of noncommutative martingales[J]. PROBABILITY THEORY AND RELATED FIELDS,2012,152(1-2):179-206. |
| APA | Bekjan, Turdebek N.,&Chen, Zeqian.(2012).Interpolation and I broken vertical bar-moment inequalities of noncommutative martingales.PROBABILITY THEORY AND RELATED FIELDS,152(1-2),179-206. |
| MLA | Bekjan, Turdebek N.,et al."Interpolation and I broken vertical bar-moment inequalities of noncommutative martingales".PROBABILITY THEORY AND RELATED FIELDS 152.1-2(2012):179-206. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。