Operator-valued Fourier Haar multipliers on vector-valued L1 spaces

A sufficient condition is given to ensure the boundedness of Fourier Haar multiplier operators from L1([0,1],X) to L1([0,1],Y), where X and Y are arbitrary Banach spaces and the Fourier Haar multiplier sequences come not from R, as in the classical case, but from the space of bounded operators from the Banach space X to the Banach space Y.