摘要
分别对Banach空间值鞅差序列和独立随机变量序列证明了Rosenthal型不等式,所得结论揭示了Rosentha1型不等式与Banach空间的p型、q余型、p一致光滑性和q一致凸性之间的内在联系.
The Rosenthal＇s inequalities for B-valued martingales and independent random variables are proved respectively, by which, the relationship＇s between the Rosenthal＇s inequalities and the type-p, cotype-q, p-uniform smoothness and q-uniform convexity of Banach spaces are brought to light.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2007年第1期4-10,共7页
Pure and Applied Mathematics
基金
国家自然科学基金项目(10371093)
湖北省教育厅自然科学研究计划重点项目(D200613001)
