Atomic Decompositions of Weak Hardy Spaces of B-Valued Martingales

作     者：MA Tao LIU Peide MA Tao, LIU Peide~ School of Mathematics and Statistics, Wuhan University , Wuhan 430072,Hubei, China

作者机构：School of Mathematics and Statistics Wuhan UniversityWuhan 430072 Hubei China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2006年第11卷第3期

页      面：456-460页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foun-dation of China (10371093) 

主　　题：atomic decomposition weak Hardy space B-valued martingale 

摘      要：The atomic decompositions of weak Hardy spaces of Banach-space-valued martingales are given. With the help of the atomic decompositions, some inequalities for B-valued martingales are established in the case 0〈r≤1. Here the results are connected closely with the p-uniform smoothness and q-uniform convexity of Banach spaces which the martingales take values in.