Weighted Norm Inequalities for Calderon-Zygmund Operators of φ-Type and Their Commutators

摘要

In this paper, we introduce new weighted Morrey spaces L_(θ,ω)~(p,k) (φ) associated with a nondecreasing function φ of upper type β with β> 0, where ω ∈ A_p (φ)~θ and φ(αt) ≤ Cα~β φ(t), then we obtain the weighted strong type and weak endpoint estimates for Calderon-Zygmund operators of φ-type and their commutators [b,T] on new weighted Morrey spaces L_(θ,ω)~(p,k) (φ), where b ∈ BMO~θ(φ).