加权Herz型Hardy空间上的交换子的弱型估计

WEAK TYPE ESTIMATE FOR COMMUTATORS ON WEIGHTED HERZ-TYPE HARDY SPACES

证明了Bochner-Riesz算子和CZ算子的交换子当α=n(1-1/q)时从空间H.Kqα,p(ω1;2ω)到空间.Kq,αp,∞(1ω;ω2)的有界性,其中ω1,ω2是Muckernhoupt sA1权.

It is proved that the commutator about the Bochner-Riesz operator and the commutator about C-Z kernel are bounded from HKq^a,p（ω1;ω2） to Kq^a,p,∞（ω1;ω2） when a = n （ 1 - 1/q）, where ω1,ω2 are Muckernhoupt＇s A1 weights.