Lusin面积积分算子在加权Herz型空间上的有界性

Boundedness of Lusin Area Integral Operator on the Weighted Herz-type Spaces

给出了当n(1-1q)≤α<n(1-1q)+ε(α=n(1-1q)+ε),ω1,ω2∈A1时,Lusin面积积分算子Sψ从加权Herz型Hardy空间H Kα,pq(ω1,ω2)到加权Herz空间 Kα,pq(ω1,ω2)(加权弱Herz空间W Kα,pq(ω1,ω2))中的有界性证明.

It provides the boundary proof of Littlewood-Paley S_ψ function from weighted Herz-type Hardy space H^(α,p)_q(ω_1,ω_2) to weighted Herz space ^(α,p)_q(ω_1,ω_2) (weighted weak Herz space W^(α,p)_q(ω_1,ω_2)) if n(1-1q)≤α<n(1-1q)+ε(α=n(1-1q)+ε) and ω_1,ω_2∈A_1.