Noncommutative weak Orlicz spaces and martingale inequalities
文献类型：期刊论文
| 作者 | Bekjan, Turdebek N.1; Chen, Zeqian3; Liu, Peide2; Jiao, Yong4 |
| 刊名 | STUDIA MATHEMATICA
 |
| 出版日期 | 2011 |
| 卷号 | 204期号:3页码:195-212 |
| 关键词 | von Neumann algebra noncommutative L(p) space noncommutative weak Orlicz space noncommutative martingale weak type Phi-moment inequality |
| 产权排序 | 第三 |
| 英文摘要 | This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. The Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. As an application, we prove the weak type Phi-moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type Phi-moment noncommutative Khinchin inequality for Rademacher random variables. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | KHINTCHINE INEQUALITIES ; MEASURABLE OPERATORS ; EXTRAPOLATION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000293111300001 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1881]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 4.Cent S Univ, Inst Probabil & Stat, Changsha 410075, Hunan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bekjan, Turdebek N.,Chen, Zeqian,Liu, Peide,et al. Noncommutative weak Orlicz spaces and martingale inequalities[J]. STUDIA MATHEMATICA,2011,204(3):195-212. |
| APA | Bekjan, Turdebek N.,Chen, Zeqian,Liu, Peide,&Jiao, Yong.(2011).Noncommutative weak Orlicz spaces and martingale inequalities.STUDIA MATHEMATICA,204(3),195-212. |
| MLA | Bekjan, Turdebek N.,et al."Noncommutative weak Orlicz spaces and martingale inequalities".STUDIA MATHEMATICA 204.3(2011):195-212. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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