© Hindawi Publishing Corp. CONTINUITY FOR SOME MULTILINEAR OPERATORS OF INTEGRAL OPERATORS ON TRIEBEL-LIZORKIN SPACES

The continuity for some multilinear operators related to certain fractional singular integral operators on Triebel-Lizorkin spaces is obtained. The operators include Calderon-Zygmund singular integral operator and fractional integral operator. 2000 Mathematics Subject Classification: 42B20, 42B25. 1. Introduction. Let T be a Calderon-Zygmund singular integral operator; a well-known result of Coifman et al. (see [6]) states that the commutator [b,T] = T(bf)−bTf (where b ∈ BMO) is bounded on Lp(Rn) for 1<p <∞; Chanillo (see [1]) proves a similar result when T is replaced by the fractional integral operator; in [10, 11], these results on the Triebel-Lizorkin spaces and the case b ∈ Lipβ (where Lipβ is the homogeneou