QUASI SURE LOCAL CONVERGENCE RATE OF A BROWNIAN MOTION IN THE HOLDER NORM

摘要

We estimate the local convergence rate of Strassen type for a Brownian motion in the Holder norm with respect to C_(r,p)-capacity on an abstract Wiener space. The local convergence rate for increments of a Brownian motion in the Holder norm with respect to C_(r,p)-capacity is also derived.