Quasi-sure pp-variation of fractional Brownian motion

In this paper, we prove that for the fractional Brownian motion BtBt with Hurst parameter HH, the quasi-sure limit of the form ∑i=02n-1|Bti+1n∧t-Btin∧t|p is zero, where tin=i2-n, p>1/Hp>1/H.