应用数学2018,Vol.31Issue(3):559-565,7.
lp-值Wiener过程在Hölder范数下的泛函重对数定律
Functional Laws of Iterated Logarithm for lp-Valued Wiener Processes in H?lder Norm
摘要
Abstract
In this paper, with aid of a large deviation formula for l2-valued Wiener processes in stronger topology generated by H?lder 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
lp-值Wiener过程/泛函重对数定律/Hölder范数Key words
lp-Valued Wiener processes/Functional laws of iterated logarithm/Hölder norm分类
数理科学引用本文复制引用
危启才,王文胜..lp-值Wiener过程在Hölder范数下的泛函重对数定律[J].应用数学,2018,31(3):559-565,7.基金项目
Supported by the National Natural Science Foundation of China(11671115) (11671115)