GENERALIZED ROSENTHAL'S INEQUALITY FOR BANACH-SPACE-VALUED MARTINGALES  

作　　者：于林 

机构地区：[1]College of Sciences,China Three Gorges University

出　　处：《Acta Mathematica Scientia》2009年第2期305-312,共8页数学物理学报（B辑英文版）

基　　金：Supported by the Scientific Research Foundation of Hubei Province (D200613001);the National Natural Science Foundation of China (10371093)

摘　　要：A generalized Rosenthal＇s inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexity of the underlying Banach space. As an application of this inequality, the strong law of large numbers for Banach-space-valued martingales is also given.A generalized Rosenthal＇s inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexity of the underlying Banach space. As an application of this inequality, the strong law of large numbers for Banach-space-valued martingales is also given.

关 键 词：Rosenthal＇s inequality Ф-inequality MARTINGALES p-uniform smoothness q-uniform convexity 

分 类 号：O177[理学—数学]