分数次积分算子交换子在Morrey空间上的有界性特征

A characterization of the boundedness for the commutator of fractional integral on Morrey space

本文证明了:如果分数次积分算子交换子[b,TΩ,α]从Morrey空间Lp,λ(Rn)到Lq,λ(Rn)(1<p,q<∞,1/q=1/p-α/(n-λ))有界,则b∈BMO(Rn).这个结果改进并推广了前人的结果.

Abstract In this paper, [b,TΩ,α] is the commutator oi iractional integral withe the kernel function Ω on the unit sphere. The authors give a characterization of BMO space by studying the boundedness of [b,TΩ,α] from the Morrey spaces Lp,λ（Rn） to Lq,λ（Rn） when p 〉 1 and 1/q = 1/p - α/（n-λ）. The results in this paper improve and extend some known conclusions.