BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES
文献类型：期刊论文
| 作者 | Liu PD(刘培德)1; Long RL(龙瑞麟)2 |
| 刊名 | 数学年刊：B辑英文版
 |
| 出版日期 | 1992 |
| 卷号 | 000期号:002页码:167-179 |
| 关键词 | operators boundedness valued sharp establishing smoothness martingale Holder proof Walsh |
| ISSN号 | 0252-9599 |
| 其他题名 | BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES |
| 英文摘要 | The aim of this paper is establishing some inequalities of several operators on Banach-space-valued martingales and using them to give some characterizations of geometrical properties of Banach spaces. In particular, the Φ-function nequalitities of sharp operators f_p~#, f_p~#, p-variation operators W_p, W_p and the martingale tranform operator T_v are discussed. It is proved that the boundedness of these operators characterizes the smoothness, convexity and UMD-property of Banach spaces. |
| 语种 | 中文 |
| CSCD记录号 | CSCD:167646 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54923]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.武汉大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Liu PD,Long RL. BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES[J]. 数学年刊：B辑英文版,1992,000(002):167-179. |
| APA | 刘培德,&龙瑞麟.(1992).BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES.数学年刊：B辑英文版,000(002),167-179. |
| MLA | 刘培德,et al."BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES".数学年刊：B辑英文版 000.002(1992):167-179. |
入库方式： OAI收割
来源：数学与系统科学研究院
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