典型文献
Compactness for Commutator of Fractional Integral on Non-homogeneous Morrey Spaces
文献摘要：
The aim of this paper is to establish the necessary and sufficient conditions for the compactness of fractional integral commutator[b,Iγ]which is generated by fractional integral Iγ and function b ∈ Lipβ (μ) on Morrey space over non-homogeneous metric measure space,which satisfies the geometrically doubling and upper doubling conditions in the sense of Hyt(o)nen.Under assumption that the dominating function λ satisfies weak reverse doubling condition,the author proves that the commutator[b,Iγ]is compact from Morrey space Mpq(μ) into Morrey space Mst (μ) if and only if b ∈ Lipβ (μ).
文献关键词：
中图分类号：
作者姓名：
Guanghui LU
作者机构：
College of Mathematics and Statistics,Northwest Normal University,Gansu 730070,P.R.China
文献出处：
引用格式：
[1]Guanghui LU-.Compactness for Commutator of Fractional Integral on Non-homogeneous Morrey Spaces)[J].数学研究及应用,2022(01):73-88
A类：
Commutator,Hyt,nen,Mpq,Mst
B类：
Compactness,Fractional,Integral,Non,homogeneous,Morrey,Spaces,aim,this,paper,establish,necessary,sufficient,conditions,compactness,fractional,integral,commutator,which,generated,by,function,Lip,space,over,measure,satisfies,geometrically,doubling,upper,sense,Under,assumption,that,dominating,weak,reverse,author,proves,from,into,if,only
AB值：
0.493265
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