On delayed averages of Brownian motion in Banach spaces
Let {W(t): t >= 0} be [mu]-Brownian motion in a real separable Banach space B, and let aT be a nondecreasing function of T for which (i) 0 < aT <= T (T >= 0), (ii) aT/T is nonincreasing. We establish a Strassen limit theorem for the net {[xi]T: T >= 3}, where