Abstract:

Using “generalized approximations of the identity” and the double conditions of measure μ on spaces of homogeneous type, we esti
mated the boundedness of the multilinear commutators T_b generated by singular integral operators with nonsmooth kernels T and b(b∈Lip_β), and obtained a result from L^p(X) to L^q(X).

Key words: space of homogeneous type, Lipschitz space, generalized approximations of the identity, multilinear commutator