Аннотация:

We prove a version of Strassen’s law of iterated logarithm in the space of continuous functions with weighted $\sup$\,--\,metric for a Wiener process defined on the half-axis. We consider weight functions of the form $1/(1+t^{\alpha})$, where $\alpha > 1/2$. The result is unimprovable in the class of power weight functions.