Multilinear Commutators of Fractional Integrals

Let L be the infinitesimal generator of an analytic semigroup on L2(Rn) with Gaussian kernel bounds,and let L-α/2 be the fractional integrals of L for 0αn.Let m be a natural number,and bi be BMO functions on Rn for i=1,2,…,m,we obtain that multilinear commutators generated by fractional integrals and bi for i=1,2,…,m are bounded from Lp(Rn) to Lq(Rn),for 1pn/α,1/q=1/p-α/n.