Weighted boundedness of multilinear Calderon commutators

摘要

The main result of this paper is to give that if b is an element of Lip(R-n), h(j) is an element of BMO(R-n), j = 1, ..., k, k is an element of Z(+) and w is an element of A(p), 1 < p < infinity, then the multilinear Calderon commutators T-Omega,T-b,((h) over right arrow) with variable kernels are bounded on L-P(w). In addition, the authors extend the above result to the Morrey space.