Calderón–Zygmund operators on Herz type Hardy spaces

We consider the boundedness of Calderón–Zygmund operators from HK˙ α,p q (Rn) to hK˙ α,p q (Rn), where HK˙ α,p q (Rn) is the Hardy space associated with the Herz space K˙ α,p q (Rn) and hK˙ α,p q (Rn) is the local version of HK˙ α,p q (Rn). We show Calderón’s commutator is bounded from HK˙ α,p q to hK˙ α,p q .  2003 Elsevier Inc. All rights reserved.