Abstract:

Using the atomic decomposition of weighted Hardy spaces to show the boundedness of commutators generated by the Lipcsihtz function and generalized CalderónZygmund operator on the weighted Hardy type spaces, we obtained the commutators are bouneded from H^p(ω) to L^q(ω^q/p) and from H^p_b(ω) to L^q(ω^q/p).

Key words: generalized CalderónZygmund operator, Lipschitz space, commutator, weighted Hardy space, weights