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

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.