Hardy spaces estimates for a class of multilinear homogeneous operators (Q1974176)

The authors prove that multilinear singular integral operators with homogeneous kernels are bounded from product Lebesgue spaces to Hardy spaces and, at the extreme case, from product Lebesgue spaces to weak Hardy spaces. As an application, the authors show the boundedness in Lebegue spaces for commutators of singular integrals of homogeneous kernels with BMO functions.