Boundedness for Commutator of Generalized Calderón-Zygmund Operator on the Weighted Hardy Space

Using the atomic decomposition of weighted Hardy spaces to show the boundedness of commutators generated by the Lipcsihtz function and generalized Calderon-Zygmund operator on the weighted Hardy type spaces,we obtained the commutators are bouneded from H p(ω) to Lq(ωq/p) and from H pb(ω) to Lq(ωq/p).