Before revision:  For adversarially robust streams, we obtain a (1+\epsilon)-approximation to F_p using \mathcal{O}\left(\log n{\epsilon^2}\right) bits of space for p\in[0,2] , and using \mathcal{O}\left(1{\epsilon^2}n^{1-2/p}\right) bits of space for integers p>2.
After revision:  For adversarially robust streams, we obtain a (1+\epsilon)-approximation to F_p using \mathcal{O}\left(\log n{\epsilon^2}\right) bits of space for p\in[0,2] and using \mathcal{O}\left(1{\epsilon^2}n^{1-2/p}\right) bits of space for integers p>2.