Bounding sectional curvature along a K\"ahler-Ricci flow

If a normalized K"{a}hler-Ricci flow $g(t),t\in [0,\mathrm{\infty }),$ on a compact K"{a}hler $n$-manifold, $n\ge 3$, of positive first Chern class satisfies $g(t)\in 2\pi c_1(M)$ and has $L^n$ curvature operator uniformly bounded, then the curvature operator will also uniformly bounded along the flow. Consequently the flow will converge along a subsequence to a K"{a}hler-Ricci soliton.