Multilinear commutators of Calderon-Zygmund operator on generalized variable exponent Morrey spaces

In this paper, we study the boundedness of multilinear commutators of CalderonZygmund operators Tb on generalized variable exponent Morrey spaces M-p(.),M-phi. Let b = (b(1), ... , b(m)) and b(i) is an element of BMO for i = 1, ... , m. Then the sufficient conditions on the pair (phi 1, phi 2), which ensure the boundedness of the operator T-b from M-p(.),M-phi 1 to M-p(.),M-phi 2, are found.