B值随机场的Hǎjek-Rényi不等式及其应用

B值随机场的Hǎjek-Rényi不等式及其应用 THE HAJEK RENYI INEQUALITY FOR B VALUED RANDOM FIELDS AND ITS APPLICATION 陈平炎 Chen Pingyan 1 first-author 甘师信 Gan Shixin 1 武汉大学数学科学学院 武汉大学数学科学学院 College of Mathematical Sciences,Wuhan University College of Mathematical Sciences,Wuhan University 用Ｂ值鞅差阵列的Ｈǎｊｅｋ－Ｒéｎｙｉ不等式刻画了Ｂａｎａｃｈ空间Ｂ的ｐ可光滑性（１＜ｐ≤２），作为应用，还给出了某些Ｂ值随机变量阵列的强大数定律及极大值函数的可积性 A p smoothable Banach space is charactered in the term of the Hǎjek Rényi inequality for B valued martingales with multimensional parameters. As application of this inequlity,the strong law of large numbers and integrability of the supremum of B valued random variable sequence are also given. 多指标B值鞅 Hǎjek－Rényi不等式 p可光滑空间 强大数定律 B valued martingales with multimensional parameters Hǎjek Rényi inequality p smoothable Banach space strong law of large number O211 1998-03-01 2021-04-01 3