齐型空间中分数次积分交换子的加权端点估计

Weighted End-point Estimates for Commutators of Fractional Integrals on Spaces of Homogeneous Type

该文得到齐型空间中分数次积分交换子[b,I_α]的加权端点估计ω({x∈X:|[b,I_α]f(x)|>t})≤Cψ(∫_xA(||b||_*(|f(x)|/t)■(ω(x))dμ(x))其中b∈BMO(X,d,μ),A(t)=tlog(e+t),ψ(t)=[tlog(e+t~α)]^(1/(1-α)),■(t)=t^(1-α)log(e+t^(-α)).

In this paper, it is established that the weighted end-point estimates for the commutator of fractional integrals on the spaces of homogenesous type, i.e.,ω（{x∈X：｜[b,I_α]f（x）｜〉t}）≤Cψ（∫_xA（｜｜b｜｜_＊（｜f（x）｜/t） （ω（x））dμ（x）） where b∈BMO（X,d,μ）,A（t）=tlog（e＋t）,ψ（t）=[tlog（e＋t~α）]^（1/（1-α））, （t）=t（1-α）log（e＋t^（-α））.