Weighted Hp Boundedness of C-Z Type Singular Integral Operators

In this paper we prove that C-Z type singular integral operators Tfsp.¨ H) f are bounded from Hp to L p and from Hp to Hp, 0-pF1, under conditions on v v v v < . .< < < < < n H weaker than H xyy yH x FC yr x q1, < x<)2< y<)0, and stronger than the standard H¨ormander condition H