LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS ON SPACES OF HOMOGENEOUS TYPE.

In this paper we discuss the multilinear commutators of singular integral operators on spaces of homogeneous type. By using Hölder's inequalities and the (Lp,Lq) type boundedness of fractional integral operators on spaces of homogeneous type, we obtain that this kind of multilinear commutators is bounded from Lp to Lq, from Lp to Triebel-Lizorkin spaces and from Hb→p to Lp. We also establish their H Kq1,bα,p→, Kq2α,p) type boundedness on spaces of homogeneous type. [ABSTRACT FROM AUTHOR]