Abstract Fan-Sato[8] proved a tranceference theorem with respect to the multilinear operators on Rn. Also Blasco-Villarroya[3] proved the similar result with repect to the biilinear operators on Z2.

We develop a general framework for the analysis of operator-valued multilinear multipliers acting on Banach-valued functions. Our main result is a Coifman-Meyer type theorem for operator-valued ...