Multilinear commutators of Calderon-Zygmund operators on Hardy-type spaces with non-doubling measures

摘要

Under the assumption that It is a non-negative Radon measure on R-d which only satisfies some growth condition, the authors obtain the boundedness in some Hardy-type spaces of multilinear commutators generated by Calderon-Zygmund operators or fractional integrals with RBMO(mu) functions, where the Hardy-type spaces are some appropriate subspaces, associated to the considered RBMO(mu) functions, of the Hardy space H-1 (mu) of Toll sa. (c) 2005 Elsevier Inc. All rights reserved.