l^p-值Wiener过程在Hlder范数下的泛函重对数定律（英文）  

Functional Laws of Iterated Logarithm for l^p-Valued Wiener Processes in Hlder Norm

作　　者：危启才 王文胜 WEI Qicai;WANG Wensheng(School of Mathematics ＆ Computer Science, Wuhan Polytechnic University, Wuhan 430023, China;School of Economics, Hangzhou Dianzi University, Hangzhou 310018, China)

机构地区：[1]武汉轻工大学数学与计算机学院,湖北武汉430023 [2]杭州电子科技大学经济学院,浙江杭州310018

出　　处：《应用数学》2018年第3期559-565,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11671115)

摘　　要：在Hlder范数生成的强拓扑下,基于l^2-值Wiener过程的大偏差公式,本文得到了Hlder范数意义下,l^2-值Wiener过程的泛函重对数定律,也得到了l^p-值Wiener过程的泛函重对数定律,在这里1≤p<∞.In this paper, with aid of a large deviation formula for l2-valued Wiener processes in stronger topology generated by H¨older norm, we obtain the functional laws of iterated logarithm for l2-valued Wiener processes in particular, also for lp-valued,1 ≤ p ∞, Wiener processes in general.

关 键 词：l^p-值Wiener过程 泛函重对数定律 HOLDER范数 

分 类 号：O211.6[理学—概率论与数理统计]